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1

Rychtáriková, Renata, Jan Urban, and Dalibor Štys. "ŽAMPA’S SYSTEMS THEORY: A COMPREHENSIVE THEORY OF MEASUREMENT IN DYNAMIC SYSTEMS." Acta Polytechnica 58, no. 2 (April 30, 2018): 128. http://dx.doi.org/10.14311/ap.2018.58.0128.

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The article outlines in memoriam Prof. Pavel Žampa’s concepts of system theory which enable us to devise a measurement in dynamic systems independently of the particular system behaviour. From the point of view of Žampa’s theory, terms like system time, system attributes, system link, system element, input, output, sub-systems, and state variables are defined. In Conclusions, Žampa’s theory is discussed together with another mathematical approaches of qualitative dynamics known since the 19th century. In Appendices, we present applications of Žampa’s technical approach to measurement of complex dynamical (chemical and biological) systems at the Institute of Complex Systems, University of South Bohemia in České Budějovice.
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2

Stotz, Quinton, and Walcir Cardoso. "Applying Complex Dynamic Systems Theory to Identify Dynamic Properties of Plurilingual Repertoires." TESL Canada Journal 38, no. 2 (March 10, 2022): 140–70. http://dx.doi.org/10.18806/tesl.v38i2.1360.

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Language repertoires have been traditionally construed as a set of chronologically determined compartments (first language, second language, etc.), a scheme which upholds several validity and ethical issues when operationalized in research and education (Ortega, 2019). Complex dynamic systems theory (also complexity theory, here CDST) has been hailed as one solution moving forward, but its applicability to plurilingual settings requires further testing. This exploratory study contributes by examining whether inherent properties of complex dynamic systems manifest in the perceptions that plurilinguals have as their language systems change over time. Using retrodictive qualitative modelling (Dörnyei, 2014), this study discerned the developmental trajectory of changing language systems by working backwards through data collected during an observation window. Over a 3-month period, three plurilingual individuals assessed their language systems through weekly surveys and participated in open-ended interviews. A three-stage phenomenological analysis evaluated the data against CDST’s theoretical prism to identify five CDST properties (attractor states, phase shifts, co-adaptation, self-organization, and emergence) in the participants’ perceptions of their changing repertoires. Results indicate that plurilingual repertoires exhibit the aforementioned dynamics, although evidence for emergence was less certain. Importantly, this study shows that CDST dynamics are discernible in an individual’s perception of their language development over time. Les répertoires langagiers se comprennent traditionnellement comme un ensemble de compartiments déterminés chronologiquement (première langue, deuxième langue, etc.), un mécanisme qui maintient plusieurs problèmes de validité et d’éthique quand il est opérationnalisé dans la recherche et l’enseignement (Ortega, 2019). La théorie des systèmes dynamiques complexes (également appelée théorie de la complexité, ici TSDC) a été acclamée comme une solution pour avancer, mais son applicabilité à des contextes plurilingues devra être testée davantage. L’étude exploratoire suivante apporte sa contribution en examinant le fait de savoir si les propriétés inhérentes aux systèmes dynamiques complexes se manifestent dans les perceptions que les plurilingues ont de leurs systèmes au fur et à mesure que leurs systèmes de langue changent avec le temps. En se servant de la modélisation de la rétrodiction qualitative (Dörnyei, 2014), cette étude discerne la trajectoire de développement de systèmes langagiers changeants en travaillant à l’envers par le biais de données recueillies pendant une fenêtre d’observation. Pendant une période de trois mois, trois personnes plurilingues ont évalué leurs systèmes langagiers au moyen de sondages hebdomadaires et ont participé à des entrevues ouvertes. Une analyse phénoménologique en trois étapes a évalué les données par rapport au prisme théorique de la TSDC afin d’identifier cinq propriétés de la TSDC (l’état d’attractivité, les changements de phases, la co-adaptation, l’auto-organisation et l’émergence) dans la perception que les participants avaient de leurs répertoires changeants. Les résultats indiquent que les répertoires plurilingues démontrent les dynamiques susmentionnées, bien que les preuves de l’émergence soient moins certaines. De façon importante, cette étude montre que les dynamiques de la TSDC sont discernables dans la perception que chaque personne se fait du développement de leur langue avec le temps.
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3

Groumpos, Peter. "Why Modeling Complex Dynamic Systems using Fuzzy Cognitive Maps?" Spring 2017 5, no. 2 (May 1, 2017): 1–7. http://dx.doi.org/10.33107/ijbte.2017.5.2.05.

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The difficult problem of modeling Complex Dynamic Systems (CDS) is carefully reviewed. Main characteristics of CDS are considered and analyzed. Today’s mathematical models and approaches cannot provide satisfactory answers to the challenging problems of the society. The key problem of complex dynamic systems and control theory consists in the development of methods of qualitative analysis of the dynamics and behavior of such systems and in the construction of efficient control algorithms for their efficient operation. The purpose of control to bring the system to a point of its phase space which corresponds to maximal or minimal value of the chosen efficiency criterion is reviewed and analyzed. The reasons for using Fuzzy Cognitive Maps (FCMs) in modeling Complex dynamic Systems are provided. The basics of FCMs are briefly presented. An illustrative example is considered and interesting results are presented and discussed.
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4

Xue, Jie, Xiyu Liu, Wenxing Sun, and Shuo Yan. "Discrete Morse Theory Based Dynamic P Systems." Journal of Advanced Computational Intelligence and Intelligent Informatics 22, no. 1 (January 20, 2018): 104–12. http://dx.doi.org/10.20965/jaciii.2018.p0104.

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This paper proposes a class of dynamic P systems with constraint of discrete Morse function (DMDP systems). Membrane structure is extended on complex. Rules control activities of membranes. New classes of rules and mechanism to change types of rules by discrete gradient vector field are provided as well.DMDP system extends P systems both in structures and rules. Solving air quality evaluation problem in linear time verifies the effectiveness ofDMDP systems. Since air quality evaluation problem has significance in many areas. The new P systems provide an alternative for traditional membrane computing.
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5

LARSEN-FREEMAN, DIANE. "On Language Learner Agency: A Complex Dynamic Systems Theory Perspective." Modern Language Journal 103 (January 2019): 61–79. http://dx.doi.org/10.1111/modl.12536.

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6

Gignoux, Jacques, Guillaume Chérel, Ian D. Davies, Shayne R. Flint, and Eric Lateltin. "Emergence and complex systems: The contribution of dynamic graph theory." Ecological Complexity 31 (September 2017): 34–49. http://dx.doi.org/10.1016/j.ecocom.2017.02.006.

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7

Sergienko, O. A., M. A. Mashchenko, and V. V. Baranova. "Modeling the Instability of Development of Complex Hierarchical Systems." PROBLEMS OF ECONOMY 1, no. 47 (2021): 143–54. http://dx.doi.org/10.32983/2222-0712-2021-1-143-154.

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The article suggests using modern instruments of dynamic analysis, i.e. the theories of phase, cointegration, and bifurcation analysis and the catastrophe theory to improve the methodology to study the dynamic pattern of the development indices of complex hierarchical systems (CHS) and their relationship. The article elaborates the main directions for creating research models, which would describe the interaction between the development indices of CHS, grounded on estimating and analyzing pre-crisis, crisis and post-crisis phenomena in hierarchical social and economic territorial systems. A conceptual framework algorithm is designed to model the dynamic pattern of the CHS development using modern economic and mathematical instruments to study the dynamics of time-series data and assess the relationship of CHS indices. Complex models have been implemented to monitor the key CHS development indices based on the phase and cointegration analysis of the relationship between the following processes: investment and GDP; GDP and industrial production dynamics; GDP dynamics and import volumes dynamics; wages dynamics and industrial production dynamics; migration and natural population growth. As part of the implementation of a comprehensive model for monitoring key indices of CHS development based on bifurcation analysis and the catastrophe theory, the supercritical Hopf bifurcation is built in the relationship model of imports and GDP; surfaces of the functions of Kaldor’s model and a three-dimensional Kaldor’s model are constructed. The suggested complex toolkit for research models of the CHS development instability gives us the opportunity to draw conclusions about the reasons and factors of the occurrence of endogenous (self-generating) fluctuations and bifurcations; about the probability of catastrophes and crises arising in complex hierarchical economic systems. The solution of problems caused by the CHS development instability on the basis of complex application of phase, cointegration and bifurcation analysis will allow us to predict crisis situations in advance and to offer methods of their prevention, to find complex ways out of crisis situations.
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8

Larsen-Freeman, Diane. "Classroom-oriented research from a complex systems perspective." Studies in Second Language Learning and Teaching 6, no. 3 (September 29, 2016): 377–93. http://dx.doi.org/10.14746/ssllt.2016.6.3.2.

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Bringing a complex systems perspective to bear on classroom-oriented research challenges researchers to think differently, seeing the classroom ecology as one dynamic system nested in a hierarchy of such systems at different levels of scale, all of which are spatially and temporally situated. This article begins with an introduction to complex dynamic systems theory, in which challenges to traditional ways of conducting classroom research are interwoven. It concludes with suggestions for research methods that are more consistent with the theory. Research does not become easier when approached from a complex systems perspective, but it has the virtue of reflecting the way the world works.
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9

Bahari, Akbar. "NONLINEAR DYNAMIC MOTIVATION-ORIENTED TAXONOMY OF L2 STRATEGIES BASED ON COMPLEX DYNAMICS SYSTEMS THEORY." Journal of Language and Literature 19, no. 1 (April 1, 2019): 9–29. http://dx.doi.org/10.24071/joll.2019.1901002.

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10

Larsen-Freeman, Diane. "Complex, dynamic systems: A new transdisciplinary theme for applied linguistics?" Language Teaching 45, no. 2 (March 30, 2011): 202–14. http://dx.doi.org/10.1017/s0261444811000061.

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In this plenary address, I suggest that Complexity Theory has the potential to contribute a transdisciplinary theme to applied linguistics. Transdisciplinary themes supersede disciplines and spur new kinds of creative activity (Halliday 2001 [1990]). Investigating complex systems requires researchers to pay attention to system dynamics. Since applied linguists study language systems that change (for example, as they develop in learners, this is a useful perspective to bring to bear on many of our concerns. To introduce Complexity Theory, I list twelve principles undergirding this perspective and elaborate on three of them: those to do with dynamism, complexity, and the role of context. I then discuss several studies of L2 development that have been informed by the perspective. I conclude by suggesting that the ultimate promise of Complexity Theory is the help it provides in humanizing science.
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11

Dong, Yanping. "Complex dynamic systems in students of interpreting training." Translation and Interpreting Studies 13, no. 2 (October 12, 2018): 185–207. http://dx.doi.org/10.1075/tis.00011.don.

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Abstract Students of interpreting training may go through drastic cognitive changes, but current empirical findings are disparate and isolated. To integrate these findings and to obtain a better understanding of interpreting training, the present article tries to reinterpret students of interpreting training as complex dynamic systems. Relying primarily on longitudinal empirical data from several existing studies, the article illustrates how the initial state of some key parameters influences the progress of the systems, how the parameters themselves evolve, and how interpreting competence develops as a result of self-organization. The hope is that a metatheoretical framework such as Dynamic Systems Theory will allow specific findings and particularistic models for interpreting training to be integrated. Moreover, this approach may allow false dichotomies in the field to be overcome and seemingly contradictory data in empirical reports to be better understood, thereby providing guidelines for future research.
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12

Kusumawardhana, Indra. "Understanding The Dynamic of International System Through The Lens of Complex System Approach." Jurnal Hubungan Internasional 10, no. 1 (September 28, 2017): 90. http://dx.doi.org/10.20473/jhi.v10i1.5115.

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The International Relations Study has undergone many changes in its dynamics,especially in view of the dynamic conditions of world politics. It directly influences the development of the IR study. This paper discusses how the theory of complex systems explain the dynamics of the international system after the end of the Cold War. Through the theory, the author seeks to see the changes that occur in interstate interaction, especially in the framework of thinking about the interests of each country. Interaction between countries then encourage the existence of different systems between one another, depending on how the country chooses interaction groups. The author also seeks the inter-state interaction that formed into an international system can be studied from the transition process to change the direction of interaction to see how the true international system is formed through the views of the theory of complex systems.
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13

Jei, Yang-Gyu, and Young-Ju Kim. "Modal Testing Theory of Rotor-Bearing Systems." Journal of Vibration and Acoustics 115, no. 2 (April 1, 1993): 165–76. http://dx.doi.org/10.1115/1.2930327.

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Since all dynamic characteristics of rotor systems are closely related with rotor rotations, the directivity of modes is very important in rotor dynamics. But the classical modal testing theories which have been applied to nonrotating structures were often applied to rotor systems. Whereas the dynamic characteristics in negative frequency region have no meanings in nonrotating stuctures, the dynamic characteristics of rotor systems in the negative frequency region which are different from those in the positive frequency region have significant physical meanings. Here a new modal testing theory is proposed to separate the rotor vibration into positive and negative frequency regions. In particular, the amplitude and directivity variations of frequency response functions in positive and negative frequency regions are discussed when using complex modal displacement. And a method to identify the directivity of modes such as forward and backward is suggested using the frequency response function obtained by the proposed modal testing theory. The whirl directions of forced responses related with the directivity of modes are also discussed. In addition, even if the anisotropy in bearings and the effects of gyroscopic moments are permitted, the relations between the right and left eigenvectors of general damped anisotropic rotor systems are evaluated under some practical conditions. If the relations between the right and left eigenvectors are given, the necessity of additional modal testing to identify the adjoint modal parameters is relaxed.
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14

Orr, Alastair, Jason Donovan, and Dietmar Stoian. "Smallholder value chains as complex adaptive systems: a conceptual framework." Journal of Agribusiness in Developing and Emerging Economies 8, no. 1 (March 12, 2018): 14–33. http://dx.doi.org/10.1108/jadee-03-2017-0031.

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Purpose Smallholder value chains are dynamic, changing over time in sudden, unpredictable ways as they adapt to shocks. Understanding these dynamics and adaptation is essential for these chains to remain competitive in turbulent markets. Many guides to value chain development, though they focus welcome attention on snapshots of current structure and performance, pay limited attention to the dynamic forces affecting these chains or to adaptation. The paper aims to discuss these issues. Design/methodology/approach This paper develops an expanded conceptual framework to understand value chain performance based on the theory of complex adaptive systems. The framework combines seven common properties of complex systems: time, uncertainty, sensitivity to initial conditions, endogenous shocks, sudden change, interacting agents and adaptation. Findings The authors outline how the framework can be used to ask new research questions and analyze case studies in order to improve our understanding of the development of smallholder value chains and their capacity for adaptation. Research limitations/implications The framework highlights the need for greater attention to value chain dynamics. Originality/value The framework offers a new perspective on the dynamics of smallholder value chains.
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15

Bougofa, Mohammed, Abderraouf Bouafia, Ammar Chakhrit, I. H. M. Guetarni, Amin Baziz, Salah Aberkane, Bilal Zerouali, Rabeh Kharzi, and Ahmed Bellaouar. "Dynamic Availability Assessment Using Dynamic Evidential Network: Water Deluge System Case Study." IOP Conference Series: Earth and Environmental Science 1098, no. 1 (October 1, 2022): 012015. http://dx.doi.org/10.1088/1755-1315/1098/1/012015.

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Abstract Probabilistic modeling is widespread in engineering practices, mainly to evaluate the safety, risk analysis, and reliability of complex systems. However, insufficient data makes it difficult to estimate the state probability of components or the global system in dynamic complex systems. Furthermore, conventional methods for dependability analysis typically have little capacity to cope with dependence, failure behavior, epistemic uncertainty, and common cause failure simultaneously. This paper presents the application of an extended discrete-time dynamic evidential network (DEN) model to assess the availability of complex systems. The model application combines Dempster-Shafer's theory to treat epistemic uncertainty over a new state-space reconstruction of components and the dynamic Bayesian network to present multi-state system dependability. This model is demonstrated in a real case study of a water deluge system installed as a safety barrier from Algeria's oil and gas plant. The results show the significant influence of these factors on the system's availability. The goal of this modeling is to assure the high availability of a safety barrier in a volatile setting by providing a decision-making tool to prioritize maintenance tasks, preventing the failure of complicated redundant systems, and recommending alterations to the design.
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Gontar, V. "Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems." Discrete Dynamics in Nature and Society 1, no. 1 (1997): 31–43. http://dx.doi.org/10.1155/s1026022697000058.

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A new theoretical foundation for the discrete dynamics of physicochemical systems is presented. Based on the analogy between theπ-theorem of the theory of dimensionality, the second law of thermodynamics and the stoichiometry of complex physicochemical reactions, basic dynamic equations and an extreme principle were formulated. The meaning of discrete time and space in the proposed equations is discussed. Some results of numerical calculations are presented to demonstrate the potential of the proposed approach to the mathematical simulation of spatiotemporal physicochemical reaction dynamics.
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17

Geert, Paul van. "Unfolding Potential as Dynamic Emergence: A View From the Theory of Complex, Nonlinear Dynamic Systems." Journal of Cognitive Education and Psychology 13, no. 3 (2014): 324–56. http://dx.doi.org/10.1891/1945-8959.13.3.324.

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The process of unfolding learning and developmental potential is discussed from the viewpoint of complex dynamic systems. After a brief overview of the notions of unfolding and potential in the context of development and education, a definition of complex dynamic systems is given, emphasizing the aspects of self-organization and emergence. The concept of nonergodicity is introduced, which implies that statistical relationships between variables applying to samples of independent individuals (the classical methodological setup of educational and developmental research) do not necessarily apply to statistical relationships found in individual time series. The consequences of complexity and nonergodicity for empirical research in education and development are presented in the form of four methodological design steps, with illustrations of usable methods and empirical research focusing on individual educational and developmental trajectories.
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Pogosyan, Vardgues. "Change And Variability Of Phenomena In Complex Social Systems." WISDOM 13, no. 2 (December 26, 2019): 95–103. http://dx.doi.org/10.24234/wisdom.v13i2.276.

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The discourse of chaos theory is used in the description of non-linear processes of social change. Comparing to the mainstream theories of the linear pattern, chaos theory shows significant expansion of the heuristic capabilities in the interpretation of asynchrony and polyvariance of the observed phenomena. A methodological separation of predictability and determinism in the study of socio-dynamics has been carried out. The circumstance that determines the formation of the corresponding attractors is the invariant components of the civilization matrix of society. The sociocultural factor, together with the activation of negative feedbacks, is decisive in the problem of absorption by the system of new information, determining the methods and limits of the reception of innovations. In part of the study of the relative homeostatic state of the system in socio-dynamic and for a detailed analysis of the order parameters, the set of which is unique for each specific cultural type, it recommended to use as a complement research tool the civilizational approach explaining local specificity.
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RAFIKOV, MARAT, JOSÉ MANOEL BALTHAZAR, and HUBERTUS F. VON BREMEN. "MANAGEMENT OF COMPLEX SYSTEMS: MODELING THE BIOLOGICAL PEST CONTROL." Biophysical Reviews and Letters 03, no. 01n02 (April 2008): 241–56. http://dx.doi.org/10.1142/s1793048008000721.

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The aim of this paper is to study the cropping system as complex one, applying methods from theory of dynamic systems and from the control theory to the mathematical modeling of the biological pest control. The complex system can be described by different mathematical models. Based on three models of the pest control, the various scenarios have been simulated in order to obtain the pest control strategy only through natural enemies' introduction.
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20

Tassinari, Maria Giovanna. "Complexity in Advising for Language Learning: From Theory to Practice." Special Issue: Papers from the AILA 2021 Symposium 13, no. 2 (June 30, 2022): 182–98. http://dx.doi.org/10.37237/130202.

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Research on advising for language learning has benefited from various theoretical frameworks, such as sociocultural theory, ecological theory and, in recent years, the theory of complex dynamic systems. With its holistic perspective on second language acquisition, the theory of complex dynamic systems helps integrate the manifold aspects involved in language development. It recognizes the interrelation of individual and social aspects, of internal and contextual factors, and places the focus on the various, interconnected/ inseparable dimensions of the language learning process. In this paper I will first illustrate some principles of complex dynamic systems theory and their impact on research on second language acquisition and language learner autonomy. Then, I will focus on advising for language learning, as a means of supporting learners as they become more autonomous and they implement change in their unique learning trajectories. Drawing on research on advising from the perspective of complex dynamic systems, I will show how this metatheory helps expand our understanding of advising beyond its conceptualization as a one-to-one interaction between a learner (advisee) and an advisor, by integrating the reflective dialogue between advisor and advisee into additional processes in which both advisor and advisee are involved. Finally, I will reflect on some implications for my own advising practice.
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MacGregor, R. J., and G. Tajchman. "Theory of dynamic similarity in neuronal systems." Journal of Neurophysiology 60, no. 2 (August 1, 1988): 751–68. http://dx.doi.org/10.1152/jn.1988.60.2.751.

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1. The techniques of dynamic similarity from the engineering science of fluid mechanics are applied to neuronal systems to suggest how to scale down critical parameters (such as numbers of constituent cells and synapses, synaptic strengths, thresholds, etc.) from naturally occurring systems to computer models. 2. The interconnectivity of a prototypical neuronal junction is defined in terms of the total number of projecting fibers, receiving cells, synapses, and directly connected cell fiber pairs. Critical derivative parameters are defined in terms of these, including: a global convergence factor, alpha ij, which is the ratio of the numbers of projecting fibers to receiving cells; and an interconnectivity completeness parameter or microscopic convergence/divergence parameter, gamma ij, which measures both the percentage of cells to which a given sending fiber projects (and the percentage of fibers from which a given cell receives) and the percentage of cell fiber combinations which are directly connected. 3. Analysis of the differential equations governing neuroelectric activity in constituent neurons suggests the definition of a sensitivity parameter complex, sigma ij (with components eta ij and mu ij) for each ij junction. These numbers represent the ratio of synaptic drive to current leakage in nonactive neurons. 4. A model for quasi-steady firing suggests the definition of a parameter, rho *j, which may be used to characterize the level of activity in a given neuronal population in terms of its synaptic drive and system parameters. It may be considered as the neuronal analog of the Reynolds number in fluid mechanics. 5. The analysis implies that computer models of neuronal systems should be scaled so as to keep the parameters alpha ij, gamma ij, and sigma ij for every junction at the same values as in the corresponding junctions of naturally occurring system being modeled. Equations for a scaling factor, chi, numbers of constituent synapses, thresholds, etc., are provided. The scaling method is illustrated by a computer simulation example and by application to the junction of the perforant path fibers to the granule cells of the hippocampus. 6. The analysis shows that there is a fundamental trade-off in scaled down computer models between verisimilitude at the level of network interconnectivity and verisimilitude at the level of individual neuronal dynamics. 7. The approach of dynamic similarity is discussed with respect to compression of free parameters and predictive comparison of naturally occurring systems.
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Hamad, Abdulsattar Abdullah, M. Lellis Thivagar, Jalawi Alshudukhi, Talal Saad Alharbi, Saud Aljaloud, Khalid Twarish Alhamazani, and Zelalem Meraf. "Secure Complex Systems: A Dynamic Model in the Synchronization." Computational Intelligence and Neuroscience 2021 (December 23, 2021): 1–6. http://dx.doi.org/10.1155/2021/9719413.

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Chaotic systems are one of the most significant systems of the technological period because their qualities must be updated on a regular basis in order for the speed of security and information transfer to rise, as well as the system’s stability. The purpose of this research is to look at the special features of the nine-dimensional, difficult, and highly nonlinear hyperchaotic model, with a particular focus on synchronization. Furthermore, several criteria for such models have been examined; Hamiltonian, synchronizing, Lyapunov expansions, and stability are some of the terms used. The geometrical requirements, which play an important part in the analysis of dynamic systems, are also included in this research due to their importance. The synchronization and control of complicated networks’ most nonlinear control is important to use and is based on two major techniques. The linearization approach and the Lyapunov stability theory are the foundation for attaining system synchronization in these two ways.
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Karwowski, Waldemar. "A Review of Human Factors Challenges of Complex Adaptive Systems." Human Factors: The Journal of the Human Factors and Ergonomics Society 54, no. 6 (December 2012): 983–95. http://dx.doi.org/10.1177/0018720812467459.

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Objective: In this paper, the author explores a need for a greater understanding of the true nature of human–system interactions from the perspective of the theory of complex adaptive systems, including the essence of complexity, emergent properties of system behavior, nonlinear systems dynamics, and deterministic chaos. Background: Human performance, more often than not, constitutes complex adaptive phenomena with emergent properties that exhibit nonlinear dynamical (chaotic) behaviors. Methods: The complexity challenges in the design and management of contemporary work systems, including service systems, are explored. Examples of selected applications of the concepts of nonlinear dynamics to the study of human physical performance are provided. Results: Understanding and applications of the concepts of theory of complex adaptive and dynamical systems should significantly improve the effectiveness of human-centered design efforts of a large system of systems. Conclusion: Performance of many contemporary work systems and environments may be sensitive to the initial conditions and may exhibit dynamic nonlinear properties and chaotic system behaviors. Human-centered design of emergent human–system interactions requires application of the theories of nonlinear dynamics and complex adaptive system. Application: The success of future human–systems integration efforts requires the fusion of paradigms, knowledge, design principles, and methodologies of human factors and ergonomics with those of the science of complex adaptive systems as well as modern systems engineering.
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Fogal, Gary G. "Second language writing from a complex dynamic systems perspective." Language Teaching 55, no. 2 (April 2022): 193–210. http://dx.doi.org/10.1017/s0261444821000410.

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This work provides a chronological and thematic account of empirical studies and position papers on second language (L2) writing scholarship from a complex dynamic systems theory (CDST) perspective. As a theoretical framework, CDST was formally introduced into applied linguistics research by Diane Larsen-Freeman in 1994 (Larsen-Freeman, 1994). However, more than a decade passed before CDST-L2 writing studies emerged in the literature, with Larsen-Freeman (2006) frequently cited as the first related publication. Initially, scholarship focused primarily on the quality of linguistic output (e.g., measures of complexity, accuracy, and fluency, or CAF) in North American and European contexts. Since these early foci, studies have expanded to cover a range of constructs and contexts that employ increasingly sophisticated and diverse research methods (for a recent collection of studies, see Fogal & Verspoor, 2020). In this time, a CDST approach to L2 writing research has matured alongside a general CDST view of language change that has contributed, through empirical studies, to understanding the nonlinear, adaptive, context dependent, and complex and dynamic nature of L2 development (see Hiver et al., 2021, for an overview).
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Minic, Djordje, and Sinisa Pajevic. "Emergent “quantum” theory in complex adaptive systems." Modern Physics Letters B 30, no. 11 (April 29, 2016): 1650201. http://dx.doi.org/10.1142/s0217984916502018.

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Motivated by the question of stability, in this paper we argue that an effective quantum-like theory can emerge in complex adaptive systems. In the concrete example of stochastic Lotka–Volterra dynamics, the relevant effective “Planck constant” associated with such emergent “quantum” theory has the dimensions of the square of the unit of time. Such an emergent quantum-like theory has inherently nonclassical stability as well as coherent properties that are not, in principle, endangered by thermal fluctuations and therefore might be of crucial importance in complex adaptive systems.
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Serletis, Apostolos. "INTRODUCTION TO MACROECONOMIC DYNAMICS SPECIAL ISSUE ON COMPLEXITY IN ECONOMIC SYSTEMS." Macroeconomic Dynamics 20, no. 2 (June 17, 2014): 461–65. http://dx.doi.org/10.1017/s1365100514000261.

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In the aftermath of the global financial crisis, questions have been raised regarding the value and applicability of modern macroeconomics. Motivated by these developments and recent advances in dynamical systems theory, the papers in this special issue of Macroeconomic Dynamics deal with specific aspects of the economy as a complex evolving dynamic system.
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Anderson, Taylor, and Suzana Dragićević. "Representing Complex Evolving Spatial Networks: Geographic Network Automata." ISPRS International Journal of Geo-Information 9, no. 4 (April 20, 2020): 270. http://dx.doi.org/10.3390/ijgi9040270.

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Many real-world spatial systems can be conceptualized as networks. In these conceptualizations, nodes and links represent system components and their interactions, respectively. Traditional network analysis applies graph theory measures to static network datasets. However, recent interest lies in the representation and analysis of evolving networks. Existing network automata approaches simulate evolving network structures, but do not consider the representation of evolving networks embedded in geographic space nor integrating actual geospatial data. Therefore, the objective of this study is to integrate network automata with geographic information systems (GIS) to develop a novel modelling framework, Geographic Network Automata (GNA), for representing and analyzing complex dynamic spatial systems as evolving geospatial networks. The GNA framework is implemented and presented for two case studies including a spatial network representation of (1) Conway’s Game of Life model and (2) Schelling’s model of segregation. The simulated evolving spatial network structures are measured using graph theory. Obtained results demonstrate that the integration of concepts from geographic information science, complex systems, and network theory offers new means to represent and analyze complex spatial systems. The presented GNA modelling framework is both general and flexible, useful for modelling a variety of real geospatial phenomena and characterizing and exploring network structure, dynamics, and evolution of real spatial systems. The proposed GNA modelling framework fits within the larger framework of geographic automata systems (GAS) alongside cellular automata and agent-based modelling.
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Knyazeva, Helena. "Strategies of Dynamic Complexity Management." Foresight and STI Governance 14, no. 4 (December 15, 2020): 34–45. http://dx.doi.org/10.17323/2500-2597.2020.4.34.45.

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The modern theory of complex systems changes our view of historical processes, accompanied by uncertainties, instabilities and ambiguities. The knowledge of this theory allows us to master a system or holistic thinking, and to understand the laws of functioning and growth of not just structural, but dynamic complexity. Uncertainties and chaotic elements that indicate any state of crisis are not only negative factors that we should beware of and not without fear to worry about them. We can learn to manage them and use them in the way of renewal of social systems, producing innovations. The strategic vision of complex systems evolution becomes an effective tool for decision making and scenarios planning based on our participatory activities with alternative futures. The article examines the case of Shell Corporation, which has been using scenario thinking technologies since the early 1970s, which has given it incredible competitive advantages and incentives for rapid growth and transformation into an international energy giant.
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Su, Xuan, Jingyu Lu, Chen Chen, Junjie Yu, and Weixi Ji. "Dynamic Bottleneck Identification of Manufacturing Resources in Complex Manufacturing System." Applied Sciences 12, no. 9 (April 21, 2022): 4195. http://dx.doi.org/10.3390/app12094195.

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Bottleneck identification is of great interest in discrete manufacturing fields, as they limit the system’s throughput. However, the bottlenecks are difficult to accurately identify due to the instability and complexity of discrete manufacturing systems. This paper proposes a dynamic bottleneck identification method (DBI-BS) that is based on effective buffers and fine-grained machine states to identify bottlenecks accurately. First, the complex manufacturing system (CMS) with strong coupling between elements is decoupled into several independent parts under the guidance of the effective buffer theory. Then, the machine activity duration method is improved through further fine-grained division, and the machine states are described by the timing flow model. The method to quantify the degree of bottleneck that restricts the system throughput (TH) is proposed on the basis of the turning point theory, and the one-to-one mapping relationship between the simulated and authentic complex manufacturing systems is also studied. Simulation results show that the DBI-BS can effectively identify dynamic bottlenecks in complex manufacturing processes, and the decoupling of complex systems can effectively improve the accuracy of dynamic bottleneck identification.
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Ostreikovsky, V. A., Ye N. Shevchenko, N. K. Yurkov, I. I. Kochegarov, and A. K. Grishko. "Time Factor in the Theory of Anthropogenic Risk Prediction in Complex Dynamic Systems." Journal of Physics: Conference Series 944 (January 2018): 012085. http://dx.doi.org/10.1088/1742-6596/944/1/012085.

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31

Jurčević, Marinko, Frane Mitrović, and Mila Nadrljanski. "System Dynamics and Theory of Chaos in Freight Rate Forming in Shipping." PROMET - Traffic&Transportation 22, no. 6 (March 2, 2012): 433–38. http://dx.doi.org/10.7307/ptt.v22i6.208.

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This paper deals with the application of System dynamics and Chaos theory in shipping using the example of freight rate forming. The development of new technologies, changes in structure and conditions, information accessibility, etc. are only some of the factors that intensify changes in freight rate forming in shipping. Therefore, shipping environment is becoming increasingly complex and dynamic. System dynamics seems to be a tool very suited for modelling of strategic and operational behaviour in shipping business. Due to the complex behaviour of these systems, chaos theory can also help in modelling of processes in shipping. The basic feature of chaotic systems is fine sensitivity in conditions at the beginning, when small change in input value may cause great changes in output values. By applying its concepts to the business process, as well as in freight rate forming in shipping, it prepares the business systems for quick response to the changes in the environment. KEY WORDS: chaos theory, shipping, freight rate, system dynamics
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Coetzee, Christo, Dewald Van Niekerk, and Emmanuel Raju. "Disaster resilience and complex adaptive systems theory." Disaster Prevention and Management 25, no. 2 (April 4, 2016): 196–211. http://dx.doi.org/10.1108/dpm-07-2015-0153.

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Purpose – The purpose of this paper is to explore the emergence of resilience into the contemporary discourse of disaster risk. As a counter position to the current status quo in defining and addressing resilience, this paper introduces the theoretical lens of complex adaptive systems theory (CAS). Some of the key characterisitcs related to CAS are discussed and linkages are made to possible benefit that they might have in enhancing the understanding of disaster resilience. Design/methodology/approach – An indepth review of literature pertaining to disaster resilience and CAS was conducted to find common grounds for theoretical synergies. Findings – The inherent similarities between the concept of resilience and CAS provides ample practical and theoretical contributions to the field of disaster risk studies. Originality/value – The paper provides a different perspective to the contemporary discourse on disaster resilience. A better understanding of disaster resilience and its underlying dynamics as illuminated by the application of CAS could in future provide an effective tool to manage disaster risks and building of resilience.
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Galkina, Tamara, and Irina Atkova. "Effectual Networks as Complex Adaptive Systems: Exploring Dynamic and Structural Factors of Emergence." Entrepreneurship Theory and Practice 44, no. 5 (October 4, 2019): 964–95. http://dx.doi.org/10.1177/1042258719879670.

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The notion of effectual networks is one of the central concepts in the effectuation research. However, there has been little conceptual and empirical work on how they emerge and what structures they have. This article incorporates the concept of complex adaptive systems from complexity theory to understand both their dynamic and structural elements. We examine the effectual networks and networking of 10 startups from Finland and offer a process-system model of effectual networks. We derive propositions that connect dynamic and structural entrepreneur-related factors of their emergence and outline directions for future research at the intersection of effectuation and complexity theory.
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34

Galatzer-Levy, Robert M. "Exploring psychological complexity through dynamic systems theory: A complement to reductionism." Behavioral and Brain Sciences 28, no. 2 (April 2005): 206–7. http://dx.doi.org/10.1017/s0140525x05350047.

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Dynamic systems theory (DS) provides tools for exploring how simpler elements can interact to produce complex psychological configurations. It may, as Lewis demonstrates, provide means for explicating relationships between two reductionist approaches to overlapping sets of phenomena. The result is a description of psychological phenomena at a level that begins to achieve the richness we would hope to achieve in examining psychological life as it is experienced and explored in psychoanalysis.
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Annaswamy, A. M., C. Thanomsat, N. Mehta, and Ai-Poh Loh. "Applications of Adaptive Controllers to Systems With Nonlinear Parametrization." Journal of Dynamic Systems, Measurement, and Control 120, no. 4 (December 1, 1998): 477–87. http://dx.doi.org/10.1115/1.2801489.

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Nonlinear parametrizations occur in dynamic models of several complex engineering problems. The theory of adaptive estimation and control has been applicable, by and large, to problems where parameters appear linearly. We have recently developed an adaptive controller that is capable of estimating parameters that appear nonlinearly in dynamic systems in a stable manner. In this paper, we present this algorithm and its applicability to two problems, temperature regulation in chemical reactors and precise positioning using magnetic bearings both of which contain nonlinear parametrizations. It is shown in both problems that the proposed controller leads to a significantly better performance than those based on linear parametrizations or linearized dynamics.
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36

Hilbert, Martin, and David Darmon. "Large-Scale Communication is More Complex and Unpredictable with Automated Bots." Journal of Communication 70, no. 5 (June 29, 2020): 670–92. http://dx.doi.org/10.1093/joc/jqaa021.

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Abstract Automated communication bots follow deterministic local rules that either respond to programmed instructions or learned patterns. On the microlevel, their automated and reactive behavior makes certain parts of the communication dynamic more predictable. Studying communicative turns in the editing history of Wikipedia, we find that on the macrolevel, the overall emergent communication process becomes both more complex and less predictable. The increased presence of bots is the main explanatory variable for these seemingly contradictory tendencies. In short, individuals introduce bots to make communication more simple and predictable but end up with a large-scale dynamic that is more complex and more uncertain. We explain our results with the information processing nature of complex systems. The article also serves as a showcase for the use of information-theoretic measures from dynamical systems theory to assess changes in communication dynamics provoked by algorithms.
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37

Morse, Wayde C. "Recreation as a Social-Ecological Complex Adaptive System." Sustainability 12, no. 3 (January 21, 2020): 753. http://dx.doi.org/10.3390/su12030753.

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The environment and society are both the context for and product of human actions and interactions. Outdoor recreation is the primary interaction many people have with the environment and it is an interaction that greatly contributes to human well-being. To sustainably manage the social and ecological components of outdoor recreation, an integrative and dynamic systems perspective is needed. Analyses that link recreation management and recreational experiences to both social and ecological outcomes across multiple sales and over time are not developed. This article will outline how a number of fragmented recreation management frameworks such as the recreation experience model, beneficial outcomes, the recreation opportunity spectrum, limits of acceptable change, and constraints theory can be organized within a larger social-ecological framework. The outdoor recreation meta-framework presented here links structuration theory from the social sciences with theories of complex adaptive systems and hierarchical patch dynamics from ecology to understand the human and ecological drivers for and responses to outdoor recreation.
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van Geert, Paul L. C., and Henderien W. Steenbeek. "Networks as complex dynamic systems: Applications to clinical and developmental psychology and psychopathology." Behavioral and Brain Sciences 33, no. 2-3 (June 2010): 174–75. http://dx.doi.org/10.1017/s0140525x10000828.

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AbstractCramer et al.'s article is an example of the fruitful application of complex dynamic systems theory. We extend their approach with examples from our own work on development and developmental psychopathology and address three issues: (1) the level of aggregation of the network, (2) the required research methodology, and (3) the clinical and educational application of dynamic network thinking.
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Wu, Bao Zhong, Jing Qiu, Guo Xi Li, and Jing Zhong Gong. "Research on Complex Precision Mechanical System Assembly Parallel Control System." Applied Mechanics and Materials 215-216 (November 2012): 1267–75. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.1267.

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To achieve the assembly process control of aerospace complex precision mechanical systems and ensure its dynamic characteristics, parallel control theory and methodology is used in the assembly process. The main point is: assembly parallel control system is built corresponding to the actual assembly ones. The ultimate quality of assembly is guaranteed via alignment influence analysis on the dynamics characteristics of the assembly joint structural and the assembly machine and the dynamic characteristics-oriented alignment process optimization and decision-making to carry out computing operator and process decision-making in the assembly process. The dissertation ,regarding space sophisticated mechanical system assembly and its dynamic characteristics as study object, introduced the parallel control thought, presented the overall framework of assembly parallel control, built the assembly parallel control system(APCS) and given the main process and implement of assembly parallel control.
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40

Wu, Zhe, Guang Yang, Qiang Zhang, Shengyue Tan, and Shuyong Hou. "Information Dynamic Correlation of Vibration in Nonlinear Systems." Entropy 22, no. 1 (December 31, 2019): 56. http://dx.doi.org/10.3390/e22010056.

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In previous studies, information dynamics methods such as Von Neumann entropy and Rényi entropy played an important role in many fields, covering both macroscopic and microscopic studies. They have a solid theoretical foundation, but there are few reports in the field of mechanical nonlinear systems. So, can we apply Von Neumann entropy and Rényi entropy to study and analyze the dynamic behavior of macroscopic nonlinear systems? In view of the current lack of suitable methods to characterize the dynamics behavior of mechanical systems from the perspective of nonlinear system correlation, we propose a new method to describe the nonlinear features and coupling relationship of mechanical systems. This manuscript verifies the above hypothesis by using a typical chaotic system and a real macroscopic physical nonlinear system through theory and practical methods. The nonlinear vibration correlation in multi-body mechanical systems is very complex. We propose a full-vector multi-scale Rényi entropy for exploring the chaos and correlation between the dynamic behaviors of mechanical nonlinear systems. The research results prove the effectiveness of the proposed method in modal identification, system dynamics evolution and fault diagnosis of nonlinear systems. It is of great significance to extend these studies to the field of mechanical nonlinear system dynamics.
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41

Lacks, Daniel J. "Dynamics of Team Member Replacements from Complex Systems Theory." Computational & Mathematical Organization Theory 10, no. 4 (January 2005): 335–47. http://dx.doi.org/10.1007/s10588-005-6285-z.

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42

Meinhardt, Hans. "Biological Pattern Formation as a Complex Dynamic Phenomenon." International Journal of Bifurcation and Chaos 07, no. 01 (January 1997): 1–26. http://dx.doi.org/10.1142/s0218127497000029.

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Self-enhancement coupled with one or more antagonistic reactions is the crucial element in pattern forming reactions. Depending on the parameter, this can lead to patterns in space and/or in time which can be either extremely robust and reproducible or highly variable. Complex patterns result from a linkage of many pattern forming reactions, one pattern generates the prerequisites for the next. The support these models have obtained recently by molecular-genetic observations give rise to the hope that in the future an interplay between theory and experiment will lead to a still better understanding of this central issue. Free from functional constraints, the diversity of patterns on the shells of mollusks provide a rich source to study the properties of dynamic systems in general. Everyday, we are confronted by systems that have an inherent tendency to change. The weather, the stock market, or the economic situation are examples in which self-enhancing and antagonistic processes also play a decisive role. The shell patterns are sufficiently complex to be a challenge but also sufficiently simple to be accessible to modeling. Their one-dimensional character and the preservation of the history of their formation provide unusual help for deciphering these patterns. They illustrate the range of behavior that can be generated by modifications of a basic mechanism. They can be regarded as a natural exercise book to study dynamic systems.
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43

GLADYSHEV, G. P. "MACROTHERMODYNAMICS OF BIOLOGICAL SYSTEMS AND EVOLUTION." Journal of Biological Systems 01, no. 02 (June 1993): 115–29. http://dx.doi.org/10.1142/s0218339093000094.

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Thermodynamics of complex open hierarchical natural systems, known as macrothermo-dynamics, studies the evolution and behavior of non-steady state systems using specific values of classical thermodynamic functions tending to extremum. The tendency of the specific value of the Gibbs function of intermolecular interactions to reach a minimum during the formation of a supramolecular organismic structure determines the variation of the chemical composition of living bodies and accumulation by biosystems of high chemical energy matter. The proposed model of the biological evolution makes it possible to substantiate and experimentally to demonstrate the possibility of accumulation and inheritance of thermodynamic features under constant (steady state) environmental conditions. The thermodynamic theory of the biological evolution does not contradict the dynamic theory of Darwin and Walles and reconciles it with some concepts promulgated by the opponents of Darwinism.
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44

Schore, Allan N. "Developmental affective neuroscience describes mechanisms at the core of dynamic systems theory." Behavioral and Brain Sciences 28, no. 2 (April 2005): 217–18. http://dx.doi.org/10.1017/s0140525x05460045.

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Lewis describes the developmental core of dynamic systems theory. I offer recent data from developmental neuroscience on the sequential experience-dependent maturation of components of the limbic system over the stages of infancy. Increasing interconnectivity within the vertically integrated limbic system allows for more complex appraisals of emotional value. The earliest organization of limbic structures has an enduring impact on all later emotional processing.
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45

Mangan, N. M., T. Askham, S. L. Brunton, J. N. Kutz, and J. L. Proctor. "Model selection for hybrid dynamical systems via sparse regression." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2223 (March 2019): 20180534. http://dx.doi.org/10.1098/rspa.2018.0534.

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Hybrid systems are traditionally difficult to identify and analyse using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations solely from measurement data. In this article, we develop a new methodology, Hybrid-Sparse Identification of Nonlinear Dynamics, which identifies separate nonlinear dynamical regimes, employs information theory to manage uncertainty and characterizes switching behaviour. Specifically, we use the nonlinear geometry of data collected from a complex system to construct a set of coordinates based on measurement data and augmented variables. Clustering the data in these measurement-based coordinates enables the identification of nonlinear hybrid systems. This methodology broadly empowers nonlinear system identification without constraining the data locally in time and has direct connections to hybrid systems theory. We demonstrate the success of this method on numerical examples including a mass–spring hopping model and an infectious disease model. Characterizing complex systems that switch between dynamic behaviours is integral to overcoming modern challenges such as eradication of infectious diseases, the design of efficient legged robots and the protection of cyber infrastructures.
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46

Dou, Qiang, Guohua Li, and Yuan Tang. "Oral English Development of EFL Learners from the Perspective of Complexity Dynamic Theory." Complexity 2021 (June 22, 2021): 1–11. http://dx.doi.org/10.1155/2021/9965139.

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With the development of economic globalization and cultural integration, the learning of a second language has become increasingly important for economic, political, and cultural exchanges in the world today. Complex dynamic system theory is an important research theory of foreign language learning methods for nonnative speakers. However, the research and application of the complex dynamic system theory in oral foreign language learning of English as a Foreign Language (EFL) learners are not prominent. The purpose of this paper is to explore the learning situation of oral English of EFL learners from the perspective of the complex dynamic system theory and provide some new learning methods and suggestions for EFL learners’ oral English learning based on the research of complex dynamic system theory. First, this article discusses and analyzes the current situation of oral English learning of EFL learners through literature research and a questionnaire survey. Then, based on the related research on the theory of complex dynamic systems, this article proposes countermeasures and learning method recommendations for the problems existing in the current oral English learning of EFL learners. After that, this paper sets up a controlled test of oral English learning through the learning method formulated by the complex dynamic system theory and verifies the learning effect of the oral English learning method proposed in this paper according to the mathematical theory research method of the complex dynamic system. Finally, this article discusses the reliability of the experimental research conclusions based on the error analysis and confidence level estimation of the experimental results. The research results show shows that there is 95% confidence that the second language learning method proposed in this paper under the perspective of the complex dynamic system theory has a positive effect on the oral English learning of EFL learners.
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47

Best, Allan, Alex Berland, Trisha Greenhalgh, Ivy L. Bourgeault, Jessie E. Saul, and Brittany Barker. "Networks as systems." Journal of Health Organization and Management 32, no. 1 (March 19, 2018): 9–24. http://dx.doi.org/10.1108/jhom-06-2017-0129.

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Purpose The purpose of this paper is to present a case study of the World Health Organization’s Global Healthcare Workforce Alliance (GHWA). Based on a commissioned evaluation of GHWA, it applies network theory and key concepts from systems thinking to explore network emergence, effectiveness, and evolution to over a ten-year period. The research was designed to provide high-level strategic guidance for further evolution of global governance in human resources for health (HRH). Design/methodology/approach Methods included a review of published literature on HRH governance and current practice in the field and an in-depth case study whose main data sources were relevant GHWA background documents and key informant interviews with GHWA leaders, staff, and stakeholders. Sampling was purposive and at a senior level, focusing on board members, executive directors, funders, and academics. Data were analyzed thematically with reference to systems theory and Shiffman’s theory of network development. Findings Five key lessons emerged: effective management and leadership are critical; networks need to balance “tight” and “loose” approaches to their structure and processes; an active communication strategy is key to create and maintain support; the goals, priorities, and membership must be carefully focused; and the network needs to support shared measurement of progress on agreed-upon goals. Shiffman’s middle-range network theory is a useful tool when guided by the principles of complex systems that illuminate dynamic situations and shifting interests as global alliances evolve. Research limitations/implications This study was implemented at the end of the ten-year funding cycle. A more continuous evaluation throughout the term would have provided richer understanding of issues. Experience and perspectives at the country level were not assessed. Practical implications Design and management of large, complex networks requires ongoing attention to key issues like leadership, and flexible structures and processes to accommodate the dynamic reality of these networks. Originality/value This case study builds on growing interest in the role of networks to foster large-scale change. The particular value rests on the longitudinal perspective on the evolution of a large, complex global network, and the use of theory to guide understanding.
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CAPOBIANCO, ENRICO. "FUNCTIONAL APPROXIMATION IN MULTISCALE COMPLEX SYSTEMS." Advances in Complex Systems 06, no. 02 (June 2003): 177–204. http://dx.doi.org/10.1142/s0219525903000840.

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One common approach for exploring, approximating and estimating complex system dynamics refers to models based on elementary or atomic building block components of easier interpretation and efficient computation. We adopt a combination of wavelets, greedy approximation and subspace techniques to investigate complex systems such as speculative financial markets. These systems are endowed with multiscale and non-stationary dynamics that we aim to artificially learn by using functional approximation and optimization theory. We show that volatility dynamics are embedded in a sequence of nested informative scales and thus a multiscale estimation approach is indicated to deal with them.
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Chen, Hongli, and Yuzheng Gao. "Behavior Data Analysis of English Learners Based on Discrete Dynamic System Modeling Method." Computational Intelligence and Neuroscience 2022 (September 2, 2022): 1–8. http://dx.doi.org/10.1155/2022/5409571.

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With the rapid development of computer science, there are more and more kinds of discrete dynamic systems. Computer integrated system CIMS, network communication database administrator system, and human behavior analysis system are all discrete dynamic systems. At present, many researchers have studied by adding human behavior data to discrete dynamic systems. This paper aims to study the behavior data of English learners by using the discrete dynamic modeling technology of complex systems and the discrete dynamic system modeling method of Petri nets. By adding the behavior data of learners to the discrete dynamic system of fuzzy Petri nets, the system is diagnosed and optimized. The experimental results show that the complex discrete dynamic system in this paper has achieved good experimental results according to the performance indicators selected in theory. Based on the combination of the above technologies and systems, the fuzzy Petri net discrete dynamic system studied in this paper improves the processing speed of English learners' behavior data.
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Liu, Yang, Yinghou Jiao, Shiyuan Qi, Guangbin Yu, and Mengdi Du. "Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems." Machines 10, no. 12 (November 23, 2022): 1112. http://dx.doi.org/10.3390/machines10121112.

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To reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion was divided into three parts: the domain of tooth surface meshing motion, the domain of free motion and the domain of tooth back meshing motion. Introducing the global mapping and local mapping dynamics method, the process of gear teeth from impact to meshing and then impact and meshing was accurately described. The influence of different restitution coefficients on gear impact-meshing motion was studied by numerical simulation. The results showed that the grazing bifurcation caused by gear backlash will lead to complex mapping structures of the system and even chaos. The restitution coefficient directly affects the impact-meshing behavior. The introduction of meshing stiffness and restitution coefficient can reasonably characterize the elastic deformation and energy loss during gear meshing, which provides a theoretical model for the application of the theory of discontinuous dynamical systems to a more complex multi-degree of freedom flexible contact gear transmission system.
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