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Relevant bibliographies by topics / Chaos and complexity theory

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Academic literature on the topic 'Chaos and complexity theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Chaos and complexity theory"

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Woehle, Ralph. "Complexity Theory, Nonlinear Dynamics, and Change: Augmenting Systems Theory." Advances in Social Work 8, no. 1 (April 30, 2007): 141–51. http://dx.doi.org/10.18060/137.

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Social work change processes are addressed in terms of complexity theory and nonlinear dynamics, adding the edge-of-chaos, as well as chaos to the entropy and homeostasis of ecosystems theory. Complexity theory sees the edge-of-chaos as valuable to living systems.A logistic difference equation is utilized to model the nonlinear dynamics of the hypothetical contentment of an individual. The modeling suggests that substantial input would be required to move an individual from homeostasis to the beneficial stage at the edge-of-chaos, but that too much input might result in chaos.With good measurement and data observed over time, social work might benefit from complexity theory and nonlinear dynamics, which are already advancing in related disciplines.

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Johnson, Jonathan L., and Brian K. Burton. "Chaos and Complexity Theory for Management." Journal of Management Inquiry 3, no. 4 (December 1994): 320–28. http://dx.doi.org/10.1177/105649269434005.

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Tsoukas, Haridimos. "Introduction: Chaos, Complexity and Organization Theory." Organization 5, no. 3 (August 1998): 291–313. http://dx.doi.org/10.1177/135050849853001.

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Érdi, Péter. "Complexity underestimated?" Behavioral and Brain Sciences 26, no. 6 (December 2003): 676–77. http://dx.doi.org/10.1017/s0140525x03310155.

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Instead of commenting directly on Foundations of Language: Brain, Meaning, Grammar, Evolution, I provide some remarks from an interdisciplinary view. Language theory is examined from the perspective of the theory of complex systems. The gestural-vocal dichotomy, network theory, evolutionary mechanisms/algorithms, chaos theory, and constructive approach are briefly mentioned.

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Ichinose, Natsuhiro, and Kazuyuki Aihara. "Challange to Complexity. (3). Theory of Chaos." Journal of the Institute of Television Engineers of Japan 50, no. 3 (1996): 358–65. http://dx.doi.org/10.3169/itej1978.50.358.

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SENGUPTA, A. "TOWARD A THEORY OF CHAOS." International Journal of Bifurcation and Chaos 13, no. 11 (November 2003): 3147–233. http://dx.doi.org/10.1142/s021812740300851x.

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This paper formulates a new approach to the study of chaos in discrete dynamical systems based on the notions of inverse ill-posed problems, set-valued mappings, generalized and multivalued inverses, graphical convergence of a net of functions in an extended multifunction space [Sengupta & Ray, 2000] and the topological theory of convergence. Order, chaos and complexity are described as distinct components of this unified mathematical structure that can be viewed as an application of the theory of convergence in topological spaces to increasingly nonlinear mappings, with the boundary between order and complexity in the topology of graphical convergence being the region in (Multi(X)) that is susceptible to chaos. The paper uses results from the discretized spectral approximation in neutron transport theory [Sengupta, 1988, 1995] and concludes that the numerically exact results obtained by this approximation of the Case singular eigenfunction solution is due to the graphical convergence of the Poisson and conjugate Poisson kernels to the Dirac delta and the principal value multifunctions respectively. In (Multi(X)), the continuous spectrum is shown to reduce to a point spectrum, and we introduce a notion of latent chaotic states to interpret superposition over generalized eigenfunctions. Along with these latent states, spectral theory of nonlinear operators is used to conclude that nature supports complexity to attain efficiently a multiplicity of states that otherwise would remain unavailable to it.

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MASON, ROGER B. "COPING WITH COMPLEXITY AND TURBULENCE - AN ENTREPRENEURIAL SOLUTION." Journal of Enterprising Culture 14, no. 04 (December 2006): 241–66. http://dx.doi.org/10.1142/s0218495806000155.

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This paper considers the adoption of an entrepreneurial orientation as a paradigm for companies operating in a complex and turbulent environment, viewing the environment as a complex and turbulent system in terms of chaos theory. Approaches suggested by chaos theory are compared with the entrepreneurial orientation to identify if such an orientation matches these suggested approaches. Literature on chaos theory and entrepreneurship is compared, and a short case is presented, providing an illustration of how a company operating successfully in a complex and turbulent environment has used the principles of an entrepreneurial orientation. The paper identifies considerable similarity between the management approaches suggested by chaos theory and the principles of the entrepreneurial orientation, indicating that chaos theory may provide the theoretical underpinning of the relationship between entrepreneurial orientation and turbulent environments. The case also shows how an entrepreneurial orientation has been successfully used in a complex and turbulent environment. The conclusion is that companies operating in a complex and turbulent environment could benefit from adopting an entrepreneurial orientation.

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Burke, John P., and Stanley L. Pestotnik. "Antibiotic resistance-systems thinking, chaos and complexity theory." Current Opinion in Infectious Diseases 12, no. 4 (August 1999): 317–19. http://dx.doi.org/10.1097/00001432-199908000-00001.

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Warren, K., C. Franklin, and C. L. Streeter. "New Directions in Systems Theory: Chaos and Complexity." Social Work 43, no. 4 (July 1, 1998): 357–72. http://dx.doi.org/10.1093/sw/43.4.357.

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Petrovic, Slavica. "The complexity paradigm in management reconceptualizing." Ekonomski anali 50, no. 167 (2005): 107–39. http://dx.doi.org/10.2298/eka0567107p.

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Chaos and complexity theory is a special, functionalist systems approach to dealing with complex, dynamic, nonlinear systems. Through treating organizations as complex, with their environments coevolving, nonlinear systems, complexity theory is aimed at creative research of their erratic nature. When an organization is in a state of bounded instability, at the edge of chaos, order and disorder are intertwined, its behavior is irregular and unpredictable but has some pattern. According to the complexity paradigm organizations have to strive to avoid the equilibrium states of stability and instability. They have instead to strive to remain in a state of bounded instability, at the edge of chaos, where they are able to display their full potential for creativity and innovation.

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Dissertations / Theses on the topic "Chaos and complexity theory"

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Colijn, Caroline. "Addressing complexity, exploring social change through chaos and complexity theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/mq43374.pdf.

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Greybe, Sylvia Elizabeth. "Comparing chaos and complexity : the quest for knowledge." Thesis, Stellenbosch : Stellenbosch University, 2004. http://hdl.handle.net/10019.1/49889.

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Thesis (MA)--University of Stellenbosch, 2004.<br>ENGLISH ABSTRACT: The question of what it means to say one knows something, or has knowledge of something, triggered an epistemological study after the nature of knowledge and its acquisition. There are many different ways in which one can go about acquiring knowledge, manydifferent frameworks that one can use to search after truth. Because most real systems about which one could desire knowledge (organic, social, economic etc.) are non-linear, an understanding of non-linear systems is important for the process of acquiring knowledge. Knowledge exhibits the characteristics of a dynamic, adaptive system, and as such could be approached via a dynamic theory of adaptive systems. Therefore, chaos theory and complexity theory are two theoretical (non-linear) frameworks that can facilitate the knowledge acquisition process. As a modernist instrument for acquiring knowledge, chaos theory provides one with deterministic rules that make mathematical understanding of non-linear phenomenaa bit easier, but it is limited in that it can only provide one with certain knowledge up until the (system's) next bifurcation (i.e. when chaos sets in). After this, it is near impossible to predict what a chaotic system will do. Complexity theory, as a postmodern tool for knowledge acquisition, gives one insight into the dynamic, self-organising nature of the non-linear systems around one. By analysing the global stability complex systems produce during punctuated equilibrium, one can learn much about how these systems adapt, evolve and survive. Complexity and chaos, therefore, together can provide one with a useful framework for understanding the nature and workings of non-linear systems. However, it should be remembered that every observer of knowledge does so out of his/her own personal framework of beliefs, circumstances and history, and that knowledge therefore can never be 100 percent objective. Knowledge and truth can never be entirely relative either, however, for this would mean that all knowledge (and thereby all opposing claims and statements) is equally correct or true. This is clearly not possible. What is possible, though, is the fulfilling and successful pursuit of knowledge for the sake of the journey of learning and understandi ng.<br>AFRIKAANSE OPSOMMING: Die vraag na wat dit eintlik beteken om te sê mens weet iets, of dra kennis van iets, het na 'n epistemologiese soeke na die wese van kennis en die verwerwing daarvan toe gelei. Daar is baie maniere waarop mens kennis kan verwerf, baie verskillende raamwerke wat mens kan gebruik om te soek na waarheid. Omdat die meeste wesenlike stelsels waarvan mens kennis sou wou verkry (organies, sosiaal, ekonomies ens.) nie-lineêr is, is 'n verstaan van nie-lineêre stelsels belangrik vir die kennisverwerwingsproses. Kennis vertoon die eienskappe van I n dinamiese, aanpassende stelsel, en kan dus via 'n dinamiese teorie van aanpassendestelsels benader word. Daarom is chaosteorie en kompleksiteitsteorie twee teoretiese (nie-lineêre) raamwerke wat die proses van kennisverwerwing kan vergemaklik. As I n modernistiese instrument vir kennisverwerwing, verskaf chaosteorie deterministiese reëls wat die wiskundige verstaan van nie-lineêre verskynsels bietjie vergemaklik, maar dit is beperk deurdat dit net sekere kennis tot op die (stelsel se) volgende splitsing (d.w.s. waar chaos begin) verskaf. Hierna, word dit naasonmoontlik om te voorspel wat I n chaotiese stelsel gaandoen. Kompleksiteitsteorie, as I n postmodernistiese gereedskap vir kennisverwerwing, gee mens insig in die dinamiese, selforganiserende aard van die nie-lineêre stelsels om mens. Deur die globale stabiliteit wat komplekse stelsels gedurende onderbreekte ewewig ("punctuated equi/ibrium"}toon te analiseer, kan mens baie leer van hoe hierdie stelsels aanpas, ontwikkel en oorleef. Kompleksiteit en chaos, saam, kan mens dus van a nuttige raamwerk vir die verstaan van die wese en werkinge van nie-lineêre stelsels, voorsien. Daar moet egter onthou word dat elke waarnemer van kennis dit doen uit sy/haar persoonlike raamwerk van oortuiginge, omstandighede en geskiedenis, en dat kennis dus nooit 100 persent objektief kan wees nie. Kennis en waarheid kan egter ook nooit heeltemaal relatief wees nie, want dit sou beteken dat alle kennis (en hiermee ook alle teenstrydige aansprake en stellings) gelyk korrek of waar is. Hierdie is duidelik onmoontlik. Wat wel moontlik is, is die vervullende en suksesvolle strewe na kennis ter wille van die reis van leer en verstaan.

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Bengtsson, Jonas. "Thriving at the Edge of Chaos." Thesis, Blekinge Tekniska Högskola, Institutionen för programvaruteknik och datavetenskap, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5975.

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In this master thesis two different worldviews are compared: a mechanistic, and an organic worldview. The way we think the world and the nature work reflects on how we think organizations work, or how they ought to work. The mechanistic worldview has dominated our way of thinking since the seventeenth century, and it compares the world with a machine. The organic worldview could use a number of different metaphors, but the one addressed in this thesis is complexity theory. Complexity theory is related to chaos theory and is concerned with complex adaptive systems (cas). Complex adaptive systems exist everywhere and are systems such as the human immune system, economies, and ecosystems. What complexity theory tries to do is to understand these systems—how they arise, how they function and how order emerge in them. When looking at complex adaptive systems you can’t just look at the different parts. You must take a more holistic view and look at the whole and the interaction of the parts. If you just look at the parts you will miss the emergent properties that have emerged as the system has self-organized. One prominent aspect of these systems is that they don’t have any central authority, but somehow order do arise. In relation to organizations, complexity theory has something to say about almost all aspects of organizations: from what kind of leadership is needed, and how teams should be organized to the physical structure of the organization. To understand what complexity theory is and how to relate that to (software developing) organizations is the main focus of this thesis. Scrum is an agile and lightweight process which can be applied on development projects in general, but have been used in such diverse examples as software development projects, marketing programs, and business process reengineering (BPR) initiatives. In this thesis Scrum is used as an example of how to apply complexity theory to organizations. The result of the thesis showed that Scrum is highly influenced and compatible with complexity theory, which implies that complexity theory is of some use in software development. However, there are more work to be done to determine how effective it is, how to introduce it into organizations, and to explore more specific implementations. This master thesis should give the reader a good understanding of what complexity theory is, some specific issues to consider when applying complexity theory on organizations, and some specific examples of how to apply complexity theory on organizations.

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Milliner, Lloyd A., and n/a. "Systems Thinking and Strategic Decision-Making: A Consideration of Chaos Theory." Griffith University. Griffith Business School, 2006. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20070212.162743.

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Strategic decision-making is a fundamental process in business management as strategic decisions affect the long-term health of the organisation. However, a constantly and unpredictably changing business environment, becoming progressively more complex as time passes makes strategy formulation increasingly difficult. Shock events such as terrorist attacks, rapidly spreading communicable diseases, and unexpected business failures of large and well-established companies greatly affect organisations by making it difficult to effectively plan for the future. This thesis contributes to the strategic decision-making literature by investigating the role of shock events in a complex system, namely strategic decision-making. Using chaos/complexity theory as an intellectual platform this thesis argues that strategic decision-making is a complex, open, dynamic and non-linear system and that shock events can represent an opportunity in strategic decision-making. A number of contemporary writers are calling for more integrated models. In response this research proposes a generic and integrative framework that highlights the complexity of strategic decision-making and its processes. The research is qualitative and a single-case study approach was chosen, examining the decision-making processes in a large Australian regional airport. Data collection was triangulated, consisting mainly of in-depth interviews with executives but also included questionnaires, and quantitative and qualitative archival data. It was found that shock events influenced strategic decision-making by causing evolutionary changes in the strategic decision-making processes. In addition it was found that shock events impacted on internal drivers such as cognition and organisational culture. The shock event was perceived as an opportunity, which resulted in changing decision-making processes a change in business strategy. It was concluded that environmental perception, intuition and an opportunity-seeking culture can play an important part in strategic decision-making following a shock event.

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Romano, Arthur. "Educating on the edge of chaos : using complexity theory to examine pedagogical responses to global complexity by peace educators." Thesis, University of Bradford, 2012. http://hdl.handle.net/10454/5725.

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This dissertation examines the nexus of complexity theory and peace education and its implications for developing educational praxis that engages with the demands of global complexity. In this thesis, I argue that as societies become more globalized and complex (global complexity) there is an onus upon education to adapt its methods so people can understand the workings of these processes better and further develop the ethical and creative resources needed for responding to system dynamics effectively. My central thesis is that the most appropriate way to do this is to use methods that are congruent with the subject matter of global complexity - that is to align one's pedagogy with one's subject area. This dissertation therefore investigates the situated and contingent responses of peace educators working in the field to the challenges and opportunities that arise when attempting to adapt to local/global dynamics. It utilizes ethnography, narrative inquiry, and autoethnography and draws its data from interviews with over 50 educators in India, Japan, and the US. This research demonstrates that when engaging with global complexity, peace educators adapt both their ontological understanding and methodological orientation in ways congruent at times with the insights of complexity theory. While this understanding can be at odds with mass educational methodologies, this tension also is a touchstone for peace educator's creative formulation of novel praxis in response to the demands of global complexity. This dissertation thus examines some of the possibilities for learning within complex knowledge production systems and highlights the need for further research into the dynamics and processes at play within global educational 'networks'.

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OrtegoÌn, Monroy MariÌa Carolina. "An explanation of chaos and complexity theory in management from a critical systems thinking perspective." Thesis, University of Lincoln, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.269786.

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Krützmann, Nikolai Christian. "Application of Complexity Measures to Stratospheric Dynamics." Thesis, University of Canterbury. Physics and Astronomy, 2008. http://hdl.handle.net/10092/2020.

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This thesis examines the utility of mathematical complexity measures for the analysis of stratospheric dynamics. Through theoretical considerations and tests with artificial data sets, e.g., the iteration of the logistic map, suitable parameters are determined for the application of the statistical entropy measures sample entropy (SE) and Rényi entropy (RE) to methane (a long-lived stratospheric tracer) data from simulations of the SOCOL chemistry-climate model. The SE is shown to be useful for quantifying the variability of recurring patterns in a time series and is able to identify tropical patterns similar to those reported by previous studies of the ``tropical pipe'' region. However, the SE is found to be unsuitable for use in polar regions, due to the non-stationarity of the methane data at extra-tropical latitudes. It is concluded that the SE cannot be used to analyse climate complexity on a global scale. The focus is turned to the RE, which is a complexity measure of probability distribution functions (PDFs). Using the second order RE and a normalisation factor, zonal PDFs of ten consecutive days of methane data are created with a Bayesian optimal binning technique. From these, the RE is calculated for every day (moving 10-day window). The results indicate that the RE is a promising tool for identifying stratospheric mixing barriers. In Southern Hemisphere winter and early spring, RE produces patterns similar to those found in other studies of stratospheric mixing. High values of RE are found to be indicative of the strong fluctuations in tracer distributions associated with relatively unmixed air in general, and with gradients in the vicinity of mixing barriers, in particular. Lower values suggest more thoroughly mixed air masses. The analysis is extended to eleven years of model data. Realistic inter-annual variability of some of the RE structures is observed, particularly in the Southern Hemisphere. By calculating a climatological mean of the RE for this period, additional mixing patterns are identified in the Northern Hemisphere. The validity of the RE analysis and its interpretation is underlined by showing that qualitatively similar patterns can be seen when using observational satellite data of a different tracer. Compared to previous techniques, the RE has the advantage that it requires significantly less computational effort, as it can be used to derive dynamical information from model or measurement tracer data without relying on any additional input such as wind fields. The results presented in this thesis strongly suggest that the RE is a useful new metric for analysing stratospheric mixing and its variability from climate model data. Furthermore, it is shown that the RE measure is very robust with respect to data gaps, which makes it ideal for application to observations. Hence, using the RE for comparing observations of tracer distributions with those from model simulations potentially presents a novel approach for analysing mixing in the stratosphere.

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Oliveira, Jefferson Freitas Amancio de. "Estudo sobre a emergência de padrões de estrutura organizacional em empresas atuantes no Brasil: uma abordagem baseada na teoria da complexidade e do caos." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/12/12139/tde-28082013-165731/.

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A proposta da tese é contribuir para um melhor entendimento das organizações por meio da utilização de conceitos da teoria da Complexidade e Caos. Entendendo a organização como um sistema adaptativo complexo, busca-se, através de aspectos relacionados à conectividade, interdependência e diversidade, a identificação de padrões de estrutura organizacional em empresas brasileiras. Foi realizada uma pesquisa exploratória a partir de bases de dados de 417 empresas, 118 mil de seus funcionários, de 22 setores de atividades diferentes que se candidatam ao prêmio de \"Melhores Empresas para se Trabalhar\", organizado pela FIA - Fundação Instituto de Administração e Você S/A. Para análise foram utilizadas técnicas diversas de mineração de dados, de escalonamento multidimensional e desenvolvidos algoritmos para o delineamento de formações gráficas da amplitude de controle e rotinas para análise da estrutura de tarefas e da tensão adaptativa entre objetivos individuais e da organização. Os resultados da pesquisa revelaram que foram identificados padrões relacionados à conectividade e interdependência interna. Especificamente, observou-se também que fatores como a amplitude de controle e tensão adaptativa entre objetivos pessoais e organizacionais também manifestaram a emergência de padrões estruturais, independente do setor de atividade.<br>The purpose of this dissertation is to contribute to a better understanding of organizations through the use of the concepts of the Chaos and Complexity theory. Assuming the organization as a complex adaptive system, it aims to identify patterns of organizational structure in Brazilian companies through connectivity, interdependence and diversity organizational aspects. The study entails an exploratory research in databases in 417 companies (22 economic sectors) and 118 thousands employees that applied for the award of the best companies to work for (Melhores Empresas para se Trabalhar) organized by FIA - Fundação Instituto de Administração and Você S/A. In the analysis it was used data mining techniques, multidimensional scaling and algorithms developed for the design of graphical formations, the span of control, structure and tasks and the adaptive tension between individual goals and the ones found in organizations where the employee works at. The results of the study point to patterns identified and related to organizational characteristics that denote the internal connectivity and interdependence. Structural patterns on information from different economic sectors companies were identified and related to factors such as span of control and adaptive tension between individual goals and perceived characteristics in organizations.

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Olivo, Rodolfo Leandro de Faria. "Um estudo sobre aplicações da teoria do caos e complexidade à gestão das cadeias de suprimentos." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/12/12139/tde-13102010-192825/.

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Este estudo aborda a aplicação da teoria do caos e complexidade à gestão das cadeias de suprimentos. Seu objetivo consiste em responder a questão orientadora da pesquisa, se a teoria do caos e complexidade pode enriquecer o entendimento e compreensão da gestão das cadeias de suprimentos. A fim de contextualizar essa discussão, este trabalho procurou resgatar alguns dos principais autores e conceitos do processo de mudança da visão do determinismo clássico científico do século XIX para as novas abordagens não determinísticas dos séculos XX e XXI, em especial o surgimento e consolidação da abordagem não linear da teoria do caos e complexidade. O método de pesquisa utilizado foi o estudo de caso, o qual focou uma rede brasileira de franquias empresariais do setor de perfumaria e cosméticos. A análise dos resultados obtidos sugere evidências de que, pelo menos parcialmente, a teoria do caos e complexidade pode sim enriquecer e ser relevante para a compreensão da gestão das cadeias de suprimentos.<br>This study approaches the use of theory of chaos and complexity on supply chain management. Its purpose consists on answering the main research question, whether the theory of chaos and complexity can contribute to enlarge the understanding of supply chain management. In order to contextualize the discussion, the dissertation sake to disclaim the main authors and concepts of the process that changed the 19th century vision of the classic determinism to the 20th and 21st centuries non deterministic approaches with focus on the raise and consolidation of the chaos and complexity theory non linear approach. The research method used was the case study with focus on a Brazilian franchising company of perfumes and cosmetics. The results analysis suggests evidence that, at least in some aspects, theory of chaos and complexity can indeed be relevant to the understanding of supply chain management.

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Meridan, Lissa. "De l'harmonie au chaos : émergence dans la musique de Gérard Pape." Thesis, Bordeaux 3, 2019. http://www.theses.fr/2019BOR30055.

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Les années soixante ont laissé libre expression aux pionniers d’une musique nouvelle — leurs expérimentations et l’avènement de la musique électroacoustique ont fait apparaître d’innombrables formes et théories qui ont définitivement changé les fondements du langage de la musique savante et la façon dont on l’aborde. Face à la musique contemporaine on se trouve dans une impasse quand on cherche à expliquer, par une démarche analytique classique, les interactions complexes de cette musique qui produisent des formes et des sons inédits. Nous cherchons à éviter cette impasse en nous appuyant sur une méthodologie innovante fondée sur les théories de la systémique, approche adoptée par les sciences contemporaines parce qu’elle donne priorité au qualitatif sur le quantitatif. Appliquée à une œuvre qui intègre les éléments électroacoustiques en interaction avec les instruments traditionnels, cette méthodologie nous permet de dégager et d’expliquer les processus qui permettent au compositeur d’intervenir à l’intérieur même du son et de créer les illusions et les paradoxes sonores, autrement dit, les émergents. L’objet de cette analyse sera l’approche de la composition de Gérard Pape, artiste singulier, pour lequel, l’énergie musicale est une force transcendante. Sa vision innovante de la composition contemporaine intègre la notion d’émergence dans une écriture complexe et dynamique. Les paradoxes sonores frappent l’auditeur alors qu’ils échappent en partie à l’écriture de la partition. Nous cherchons à dégager les éléments définis par la partition au regard des effets dits « émergents » produits par l’interrelation dynamique de ces éléments. En utilisant la systémique comme approche d’analyse musicale, nous voulons développer une approche transversale qui permet de souligner l’apparition de structures et de propriétés nouvelles, proches de celles du vivant. Par elles, l’écriture musicale explose pour aller, comme en témoigne l’œuvre de Gérard Pape, de l’harmonie au chaos<br>The free expression of the sixties gave rise to a generation of pioneers that we now call the avant-garde. The arrival of electroacoustic music fuelled their experimentation and as a result, numerous new musical genres and theories appeared which have not only changed the language of music at a fundamental level, but have also redefined the ways we perceive it. Contemporary music now finds itself confronted by an analytical dilemma. The limits of a traditional approach simply don’t take into account the complex interactions in this music that are responsible for its unusual forms and original sounds. We hope to resolve this dilemma by integrating an innovative methodology based on systems theory, a scientific approach that takes into account the qualitative aspects of scientific problems, reason for which it has gained momentum over the past thirty years. By applying this approach to a musical work we aim to develop a methodology that will permit us to explain the process by which the composer intervenes at the molecular level of sound and thus creates illusions and musical paradoxes, which we might consider emergent effects. The objective of this analysis is to gain an understanding of Gerard Pape’s particular musical approach, for whom musical energy seems to be a transcendental force. His innovative musical vision engages the principles of emergence in the dynamic complexity of his writing. Sonic paradoxes strike the listener but are less evident to transcribe into a musical score. We hope to find a link between the notated score and the emergent effect produced by the dynamic interrelations of its content. By undertaking a systems approach to musical analysis, we hope to develop a transversal model that will enable us to highlight the elusive new structures and properties that seem to grow out of this process. In Pape’s music, these emergent features distort the musical surface, and although engendered by the score, seem to burst out of nowhere, leading the listener from harmony into chaos

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Books on the topic "Chaos and complexity theory"

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Kelsey, Robert Bruce. Chaos and complexity in software. Commack, N.Y: Nova Science Publishers, 1999.

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Chaos and complexity theory in world politics. Hershey PA: Business Science Reference, 2014.

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Applied chaos theory: A paradigm for complexity. Boston: Academic Press, 1993.

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Chaos and complexity theory for management: Nonlinear dynamics. Hershey, PA: Information Science Reference, 2013.

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Bütz, Michael R. Chaos and complexity: Implications for psychological theory and practice. Washington, DC: Taylor & Francis, 1997.

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Workshop on Chaos and Complexity (1987 Turin, Italy). Workshop on Chaos and Complexity, Torino, October 5-11, 1987. Edited by Livi Roberto and Institute for Scientific Interchange. Singapore: World Scientific, 1988.

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Geert, Paul van. Dynamic systems of development: Change between complexity and chaos. New York: Harvester Wheatsheaf, 1994.

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The Nazis' march to chaos: The Hitler era through the lenses of chaos-complexity theory. Westport, CT: Praeger, 2000.

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Matthijs, Koopmans, and Pincus David 1969-, eds. Chaos and complexity in psychology: The theory of nonlinear dynamical systems. Cambridge: Cambridge University Press, 2009.

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Encounter with chaos: Self-organized hierarchical complexity in semiconductor experiments. Berlin: Springer-Verlag, 1992.

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Book chapters on the topic "Chaos and complexity theory"

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Abu el Ata, Nabil, and Maurice J. Perks. "Singularity and Chaos Theory." In Solving the Dynamic Complexity Dilemma, 175–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54310-4_17.

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Buzzi, Jérôme. "Chaos and Ergodic Theory." In Mathematics of Complexity and Dynamical Systems, 63–87. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1806-1_6.

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Buzzi, Jérôme. "Chaos and Ergodic Theory." In Encyclopedia of Complexity and Systems Science, 953–78. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_64.

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Alia, Mohammad Ahmad. "Cryptosystems Based on Chaos Theory." In Chaos, Complexity and Leadership 2013, 129–45. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09710-7_11.

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Kappraff, Jay. "Complexity and Chaos Theory in Art." In The Frontiers Collection, 117–38. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27577-8_9.

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Erkoçak, Ege, and Şuay Nilhan Açıkalın. "Complexity Theory in Public Administration and Metagovernance." In Chaos, Complexity and Leadership 2013, 73–84. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09710-7_6.

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Bozlağan, Recep. "Ideas on Municipalities, Chaos Theory and Transformational Leadership." In Chaos, Complexity and Leadership 2012, 165–75. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7362-2_21.

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Kanat, Selim. "International System, Transformation of Terrorism and Chaos Theory." In Chaos, Complexity and Leadership 2020, 107–20. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-74057-3_9.

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Klages, Rainer. "Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics." In Nonlinear Systems and Complexity, 3–42. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6962-9_1.

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Erçetin, Şefika Şule, and Nilay Başar Neyişci. "Social Network Analysis: A Brief Introduction to the Theory." In Chaos, Complexity and Leadership 2014, 167–71. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-18693-1_16.

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Conference papers on the topic "Chaos and complexity theory"

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Togawa, K., A. Benigni, and A. Monti. "A MATLAB graphical user interface for nonintrusive polynomial chaos theory." In 2012 Complexity in Engineering (COMPENG). IEEE, 2012. http://dx.doi.org/10.1109/compeng.2012.6242955.

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Herbert, Donald E. "Overview of nonlinear dynamical systems and complexity theory." In Introduction to chaos and the changing nature of science and medicine. AIP, 1996. http://dx.doi.org/10.1063/1.51056.

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Werbos, P. J. "Extending chaos and complexity theory to address life, brain and quantum foundations." In Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium. IEEE, 2000. http://dx.doi.org/10.1109/ijcnn.2000.860744.

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Gao, Jianbo, Jing Hu, and Wen-wen Tung. "Multiscale Analysis of Biological Signals." In ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASMEDC, 2011. http://dx.doi.org/10.1115/dscc2011-6084.

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Complex systems often generate highly nonstationary and multiscale signals, due to nonlinear and stochastic interactions among their component systems and hierarchical regulations imposed by the operating environments. The further advances in the fields of life sciences, systems biology, nano-sciences, information systems, and physical sciences, have made it increasingly important to develop complexity measures that incorporate the concept of scale explicitly, so that different behaviors of the signals on varying scales can be simultaneously characterized by the same scale-dependent measure. Here, we propose such a measure, the scale-dependent Lyapunov exponent (SDLE), and develop a unified theory of multiscale analysis of complex data. We show that the SDLE can readily characterize low-dimensional chaos and random 1/fα processes, as well as accurately detect epileptic seizures from EEG data and distinguish healthy subjects from patients with congestive heart failure from heart rate variability (HRV) data. More importantly, our analyses of EEG and HRV data illustrate that commonly used complexity measures from information theory, chaos theory, and random fractal theory can be related to the values of the SDLE at specific scales, and useful information on the structured components of the data is also embodied by the SDLE.

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Dogaru, Radu, Ioana Dogaru, Hyongsuk Kim, Sungsik Shin, and Oubong Gwun. "Binary synchronization of chaos in hybrid cellular automata for low complexity image compression and transmission." In 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA 2010). IEEE, 2010. http://dx.doi.org/10.1109/cnna.2010.5430253.

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Ghisu, Tiziano, and Shahrokh Shahpar. "Toward Affordable Uncertainty Quantification for Industrial Problems: Part I — Theory and Validation." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64842.

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Non-intrusive Polynomial Chaos (NIPC) methods have become popular for uncertainty quantification, as they have the potential to achieve a significant reduction in computational cost (number of evaluations) with respect to traditional techniques such as the Monte Carlo approach, while allowing the model to be still treated as a black box. This work makes use of Least Squares Approximations (LSA) in the context of appropriately selected PC bases. An efficient technique based on QR column pivoting has been employed to reduce the number of evaluations required to construct the approximation, demonstrating the superiority of the method with respect to sparse grid quadratures and to LSA with randomly selected quadrature points. Orthogonal (or orthonormal) polynomials used for the PC expansion are calculated numerically based on the given uncertainty distribution, making the approach optimal for any type of input uncertainty. The benefits of the proposed techniques are verified on a number of analytical test functions of increasing complexity and on two engineering test problem (uncertainty quantification of the deflection of a 3- and a 10-bar structure with up to 15 uncertain parameters). The results demonstrate how an LSA approach within a PC framework can be an effective method for UQ, with a significant reduction in computational cost with respect to full tensor and sparse grid quadratures.

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Evan-Iwanowski, Ross M., Chu Ho Lu, and Germain L. Ostiguy. "On the Fundamental Issues in Nonstationary Dynamics and Chaos." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0086.

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Abstract In nonstationary (NS) systems some control parameters (CPs) have the following forms: CP(t) = CP0 + ψ(t), where CP0 = const, and ψ(t) are arbitrary functions of t. Other arbitrary functions which play a pivotal role in the NS systems are the parameter functions ϕ(CP) = 0, CP = {CP1, CP2...CPn}. While the functions ψ(t) determine the time directions of the NS dynamical behavior, the functions ϕ(CP) = 0 determine the paths for the CPs to follow. The NS processes are permanently transient due to the functions ψ(t) and/or ϕ(CP) = 0, and for that reason, they can be extremely complex. Clearly then, it is essential to address the fundamental problems of cohesion and definitness of these processes. Using select examples, these issues have been studied in this presentation and have been resolved in positive. Specifically, the following have been demonstrated: (1) convergence (definitivness) of the NS logistic map and the softening Duffing oscillator to an NS limit motion (2) the appearance of a sequence of similar attractors for different NS bifurcations (3) the effects of different parameter paths, ϕ(CP) = 0, in the period doubling region of the Duffing oscillator (4) the effects of linear and cyclic paths in transition through the Ueda bifurcation regions. The results obtained show considerable complexity of the NS dynamic and chaotic responses (5) for exponential ψ(t), the Lorenz “weather” three-term model exhibit a periodic “window” in the chaotic range for an extended value of t. (6) the effects of different ψ(t) in the typical codimension one bifurcations (7) the ST chaos may be created or annihilated by injection of NS inputs (8) an efficient and fast stabilization, i.e., reduction of ST vibration to near the static equilibrium in a short time, can be accomplished by NS changes of the parameters of the system.

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Kuroda, Masaharu, and Francis C. Moon. "Local Complexity and Global Nonlinear Modes in Large Arrays of Fluid-Elastic Oscillators." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32752.

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Transition from local complexity to global spatio-temporal dynamics in a two dimensional array of fluid-elastic oscillators is examined experimentally with an apparatus comprising 90–1000 cantilevered rods in a wind tunnel. Wave-like behavior is observed which may be related to soliton solutions in nonlinear arrays of nonlinear oscillators. The 90 to 1000 steel and polycarbonate rods have gap ratios ranging from 1.0 to 2.5. As the Reynolds number (based on rod diameter) increases from 200 to 900, a pattern with characteristics of spatio-temporal chaos emerges in global behavior of the elastic-rod array. There are local and global patterns. Local patterns comprise transient rest, linear motion, and elliptical motion. In 90-rod experiments, a cluster-pattern entropy measure based on these three patterns is introduced as a quantitative measure of local complexity. No significant dynamics appear below a threshold wind velocity. Video images reveal that, at first, each rod moves individually; then clusters consisting of several rods emerge. Finally, global wave-like motion occurs at higher flow velocities. Spatial patterns in rod-density distribution appear as more rods impact with their nearest neighbors. Furthermore, these collective nonlinear motions of rods are observed and categorized into several global modes. Using accelerometer data, the rod impact rate versus flow velocity shows a power-law scaling relation. This phenomenon may have application to plant-wind dynamics and damage as well as heat exchangers in energy systems. This experiment may also be a two dimensional analog of impact dynamics of granular materials in a flow.

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Burkholder, Michael, Nicholas Siefert, and Shawn Litster. "Nonlinear Analysis of Two-Phase Flow in Polymer Electrolyte Fuel Cell Cathode Microchannels." In ASME 2012 10th International Conference on Fuel Cell Science, Engineering and Technology collocated with the ASME 2012 6th International Conference on Energy Sustainability. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fuelcell2012-91322.

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In this work, we apply a nonlinear chaos analysis to the two phase flow in polymer electrolyte fuel cell cathode air-delivery microchannels. The fuel cell voltage signal is analyzed using techniques designed to estimate invariants typical of deterministic systems with high sensitivity to initial conditions, such as chaotic two phase flow. Voltage data are taken under varying fuel cell operating conditions, and noise in the data is reduced using a nonlinear noise reduction algorithm. The chaotic strange attractor of the system is reconstructed in phase space using time-delay embedding. Correlation sums over the strange attractor are calculated to estimate the fractal correlation dimension of the system. Estimations of the Kolmogorov entropy provide an additional measure of the complexity of the strange attractor. The values of the chaotic invariants are compared across varying degrees of cathode flooding to discern how they change with two phase flow regimes and fuel cell operating conditions. Future work will involve leveraging the chaotic understanding of two phase flow with chaos control methods to increase the power stability.

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Buza, Barna "BoyC." "Chaos theory." In ACM SIGGRAPH 2007 computer animation festival. New York, New York, USA: ACM Press, 2007. http://dx.doi.org/10.1145/1281740.1281769.

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Reports on the topic "Chaos and complexity theory"

1

Valle Jr, Vicente. Chaos, Complexity and Deterrence. Fort Belvoir, VA: Defense Technical Information Center, April 2000. http://dx.doi.org/10.21236/ada432927.

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Laird, Tony. Complexity and Military Strategic Thought Balancing Order and Chaos. Fort Belvoir, VA: Defense Technical Information Center, January 1996. http://dx.doi.org/10.21236/ada441455.

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Blakesley, Paul J. Operational Shock Complexity Theory. Fort Belvoir, VA: Defense Technical Information Center, May 2005. http://dx.doi.org/10.21236/ada437516.

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Mueller, Theodore H. Chaos Theory and the Mayaguez Crisis. Fort Belvoir, VA: Defense Technical Information Center, March 1990. http://dx.doi.org/10.21236/ada222901.

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Harrison, Robert G. Dynamical Instabilities, Chaos And Spatial Complexity In Fundamental Nonlinear Optical Interactions. Fort Belvoir, VA: Defense Technical Information Center, May 1994. http://dx.doi.org/10.21236/ada291223.

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Durham, Susan E. Chaos Theory for the Practical Military Mind. Fort Belvoir, VA: Defense Technical Information Center, March 1997. http://dx.doi.org/10.21236/ada388495.

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Dobson, Rhea E. Chaos Theory and the Effort in Afghanistan. Fort Belvoir, VA: Defense Technical Information Center, February 2008. http://dx.doi.org/10.21236/ada478503.

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Moffat, James. Complexity Theory and Network Centric Warfare. Fort Belvoir, VA: Defense Technical Information Center, September 2003. http://dx.doi.org/10.21236/ada457288.

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Berman, Piotr, Georg Schnitger, and Ian Parberry. A Complexity Theory of Neural Networks. Fort Belvoir, VA: Defense Technical Information Center, August 1991. http://dx.doi.org/10.21236/ada241807.

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Fote, A., S. Kohn, E. Fletcher, and J. McDonough. Application of Chaos Theory to 1/f Noise. Fort Belvoir, VA: Defense Technical Information Center, February 1988. http://dx.doi.org/10.21236/ada191150.

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