Relevant bibliographies by topics / Chaotic behavior in systems – Mathematical models

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Chaotic behavior in systems – Mathematical models'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Chaotic behavior in systems – Mathematical models.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Chaotic behavior in systems – Mathematical models"

1

NAUROSCHAT, J., and U. AN DER HEIDEN. "NONLINEAR MATHEMATICAL MODELS OF HORMONAL SYSTEMS." Journal of Biological Systems 03, no. 03 (1995): 719–30. http://dx.doi.org/10.1142/s0218339095000666.

Full text
Abstract:
The paper considers various approaches to mathematical modelling of endocrine systems. The functional and operational complexity of hormonal activities turns out to be the result of the cooperation of three factors: global feedback structures on the level of glands, subtle feedback and regulatory mechanisms on the level of single cells and molecules (including messengers, receptors and functional proteins like G-proteins) and finally, coupling to other organs (predominantly to the brain, e.g. via hypothalamus). To date, it is practically impossible to construct a mathematical model comprising
APA, Harvard, Vancouver, ISO, and other styles
2

Harb, Ahmad M., and Issam A. Smadi. "On Fuzzy Control of Chaotic Systems." Journal of Vibration and Control 10, no. 7 (2004): 979–93. http://dx.doi.org/10.1177/1077546304041541.

Full text
Abstract:
In this paper, we introduce the control of the strange attractor, chaos. Because of the importance of controlling undesirable behavior in systems. researchers are investigating the use of linear and nonlinear controllers, either to remove such oscillations (in power systems) or to match two chaotic systems (in secure communications). The idea of using the fuzzy logic concept for controlling chaotic behavior is presented. There are two good reasons for using fulzy control: first, there is no mathematical model available for the process; secondly. it can satisfy nonlinear control that can be dev
APA, Harvard, Vancouver, ISO, and other styles
3

DE FEO, OSCAR. "QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART II: MATHEMATICAL ANALYSIS." International Journal of Bifurcation and Chaos 14, no. 03 (2004): 893–912. http://dx.doi.org/10.1142/s0218127404009739.

Full text
Abstract:
This is the second of two papers introducing a new dynamical phenomenon, strongly related to the problems of synchronization and control of chaotic dynamical systems, and presenting the corresponding mathematical analysis, conducted both experimentally and theoretically. In particular, it is shown that different dynamical models (ordinary differential equations) admitting chaotic behavior organized by a homoclinic bifurcation to a saddle-focus (Shil'nikov-like chaos) tend to have a particular selective property when externally perturbed. Namely, these systems settle on a very narrow chaotic be
APA, Harvard, Vancouver, ISO, and other styles
4

Kreuzer, Edwin J. "Stability and Bifurcations of Nonlinear Multibody Systems." Applied Mechanics Reviews 46, no. 11S (1993): S156—S159. http://dx.doi.org/10.1115/1.3122631.

Full text
Abstract:
Many technical systems are adequately described only by means of nonlinear mathematical models. Multibody systems became the most important mechanical models for analyzing engineering dynamics problems. The long-term or steady-state behavior of such systems can have a periodic, quasi-periodic, or chaotic character. Changes of the qualitative behavior are characterized by local and global bifurcations. This paper deals with stability problems in multibody system dynamics and explains different bifurcation phenomena as well as methods for analyzing them. Results from a simple oscillator prove th
APA, Harvard, Vancouver, ISO, and other styles
5

Borisyuk, Roman. "The puzzle of chaotic neurodynamics." Behavioral and Brain Sciences 24, no. 5 (2001): 812–13. http://dx.doi.org/10.1017/s0140525x01240096.

Full text
Abstract:
Experimental evidence and mathematical/computational models show that in many cases chaotic, nonregular oscillations are adequate to describe the dynamical behaviour of neural systems. Further work is needed to understand the meaning of this dynamical regime for modelling information processing in the brain.
APA, Harvard, Vancouver, ISO, and other styles
6

Cassani, Andrea, Alessandro Monteverde, and Marco Piumetti. "Belousov-Zhabotinsky type reactions: the non-linear behavior of chemical systems." Journal of Mathematical Chemistry 59, no. 3 (2021): 792–826. http://dx.doi.org/10.1007/s10910-021-01223-9.

Full text
Abstract:
AbstractChemical oscillators are open systems characterized by periodic variations of some reaction species concentration due to complex physico-chemical phenomena that may cause bistability, rise of limit cycle attractors, birth of spiral waves and Turing patterns and finally deterministic chaos. Specifically, the Belousov-Zhabotinsky reaction is a noteworthy example of non-linear behavior of chemical systems occurring in homogenous media. This reaction can take place in several variants and may offer an overview on chemical oscillators, owing to its simplicity of mathematical handling and se
APA, Harvard, Vancouver, ISO, and other styles
7

Ruíz-Hernández, Sergio, Eduardo Ortega-Torres, Carlos Sánchez-López, et al. "Adaptive Synchronization of Chaotic Systems considering Performance Parameters of Operational Amplifiers." Advances in Mathematical Physics 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/919654.

Full text
Abstract:
This paper addresses an adaptive control approach for synchronizing two chaotic oscillators with saturated nonlinear function series as nonlinear functions. Mathematical models to characterize the behavior of the transmitter and receiver circuit were derived, including in the latter the adaptive control and taking into account, for both chaotic oscillators, the most influential performance parameters associated with operational amplifiers. Asymptotic stability of the full synchronization system is studied by using Lyapunov direct method. Theoretical derivations and related results are experime
APA, Harvard, Vancouver, ISO, and other styles
8

Petrzela, Jiri, Tomas Gotthans, and Milan Guzan. "Current-Mode Network Structures Dedicated for Simulation of Dynamical Systems with Plane Continuum of Equilibrium." Journal of Circuits, Systems and Computers 27, no. 09 (2018): 1830004. http://dx.doi.org/10.1142/s0218126618300040.

Full text
Abstract:
This review paper describes different lumped circuitry realizations of the chaotic dynamical systems having equilibrium degeneration into a plane object with topological dimension of the equilibrium structure equals one. This property has limited amount (but still increasing, especially recently) of third-order autonomous deterministic dynamical systems. Mathematical models are generalized into classes to design analog networks as universal as possible, capable of modeling the rich scale of associated dynamics including the so-called chaos. Reference state trajectories for the chaotic attracto
APA, Harvard, Vancouver, ISO, and other styles
9

DE FEO, OSCAR. "QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART I: EXPERIMENTAL EVIDENCE." International Journal of Bifurcation and Chaos 14, no. 03 (2004): 873–91. http://dx.doi.org/10.1142/s0218127404009570.

Full text
Abstract:
This is the first of two papers introducing a new dynamical phenomenon, strongly related to the problems of synchronization and control of chaotic dynamical systems, and presenting the corresponding mathematical analysis, conducted both experimentally and theoretically. In particular, it is shown that different dynamical models (ordinary differential equations) admitting chaotic behavior organized by a homoclinic bifurcation to a saddle-focus (Shil'nikov-like chaos) tend to have a particular selective property when externally perturbed. Namely, these systems settle on a very narrow chaotic beh
APA, Harvard, Vancouver, ISO, and other styles
10

Gontar, V. "The dynamics of living and thinking systems, biological networks, and the laws of physics." Discrete Dynamics in Nature and Society 2004, no. 1 (2004): 101–11. http://dx.doi.org/10.1155/s1026022604401058.

Full text
Abstract:
Discrete chaotic dynamics (DCD) of living and thinking systems are presented in a form of networks of interacting agents with the abilities of energy and information exchange. Special dynamical principles followed by the systems of basic discrete time and space difference equations are introduced. Emergent, self-organized behavior of complex living and thinking systems is presented by the different patterns generated by the DCD algorithms. Artificial life and brain systems based on DCD principles and mathematical models are proposed.
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Chaotic behavior in systems – Mathematical models"

1

Cai, Qin. "Detecting Chaotic Signals with Nonlinear Models." PDXScholar, 1993. https://pdxscholar.library.pdx.edu/open_access_etds/4564.

Full text
Abstract:
In this thesis we apply chaotic dynamic data analysis to the area of discrete time signal processing. A newly developed Hidden Filter Hidden Markov Model is introduced in detection of chaotic signals. Numerical experiments have verified that this novel nonlinear model outperforms linear AR model in detecting chaotic signals buried by noise having similar power spectra. A simple Histogram Model is proposed which can also be used to do detection on the data sets with chaotic behavior. Receiver Operating Characteristics for a variety of noise levels and model classes are reported.
APA, Harvard, Vancouver, ISO, and other styles
2

Ghosh, Dastidar Samanwoy. "Models of EEG data mining and classification in temporal lobe epilepsy: wavelet-chaos-neural network methodology and spiking neural networks." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1180459585.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Spear, Daniel. "Strange attractors." Diss., Online access via UMI:, 2007.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Chow, Fung-kiu, and 鄒鳳嬌. "Modeling the minority-seeking behavior in complex adaptive systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B29367487.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Chen, Leiming. "Tilt phase transitions in disordered systems /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1251884301&sid=1&Fmt=2&clientId=11238&RQT=309&VName=PQD.

Full text
Abstract:
Thesis (Ph. D.)--University of Oregon, 2006.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 126-128). Also available for download via the World Wide Web; free to University of Oregon users.
APA, Harvard, Vancouver, ISO, and other styles
6

Erasmus, Gert Botha. "Stochastic models of steady state and dynamic operation of systems of congestion." Thesis, Pretoria : [s.n.], 2006. http://hdl.handle.net/2263/28814.

Full text
Abstract:
(i) The thesis sets out to address the problematic phenomenon of Systems of Congestion via Basic Queueing Theory. The theory, and its application in practice, appears to be a field of study which is the common domain of “theorists” and “practitioners”. (ii) This professional dichotomy has come about due to diverging interests in that one group is mainly interested in the purity of mathematical modelling, and the other group is motivated to use modelling, which conveniently employs applications oriented solutions. (iii) The schism between the groups has been accentuated by the “practitioners” w
APA, Harvard, Vancouver, ISO, and other styles
7

Viejo, Guillaume. "Coordination de systèmes de mémoire : modèles théoriques du comportement animal et humain." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066445/document.

Full text
Abstract:
Durant ce doctorat financé par l'observatoire B2V des mémoires, nous avons réalisé une modélisation mathématique du comportement dans trois tâches distinctes (avec des sujets humains, des sujets singes et des rongeurs), mais qui supposent toutes une coordination entre systèmes de mémoire. Dans la première expérience, nous avons reproduit le comportement de sujets humains (choix et temps de réaction) en combinant les modèles mathématiques d'une mémoire de travail et d'une mémoire inflexible. Nous avons associé pour un sujet son comportement au meilleur modèle possible en comparant des modèles g
APA, Harvard, Vancouver, ISO, and other styles
8

"Robust output synchronization for complex nonlinear systems." 2008. http://library.cuhk.edu.hk/record=b5893584.

Full text
Abstract:
Zhao, Jin.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2008.<br>Includes bibliographical references (leaves 79-83).<br>Abstracts in English and Chinese.<br>Abstract --- p.i<br>Acknowledgement --- p.iii<br>Chapter 1 --- Introduction --- p.1<br>Chapter 1.1 --- Synchronization of Master-slave Systems --- p.1<br>Chapter 1.2 --- Output Regulation --- p.2<br>Chapter 1.3 --- Typical Nonlinear Systems --- p.4<br>Chapter 1.4 --- Organization --- p.4<br>Chapter 2 --- Synchronization of Chua's Circuit and Van der Pol Oscillator via Inter- nal Model Approach --- p.6<br>Chapter 2.1 --- In
APA, Harvard, Vancouver, ISO, and other styles
9

Bowline, Cynthia M. "Chaos in a long rectangular wave channel." Thesis, 1993. http://hdl.handle.net/1957/35514.

Full text
Abstract:
The Melnikov method is applied to a model of parametrically generated cross-waves in a long rectangular channel in order to determine if these cross-waves are chaotic. A great deal of preparation is involved in order to obtain a suitable form for the application of the Melnikov method. The Lagrangian for water waves, which consists of the volume integrals of the kinetic energy density, potential energy density, and a dynamic pressure component, is transformed to surface integrals in order to avoid constant conjugate momenta. The Lagrangian is simplified by subtracting the zero variation integr
APA, Harvard, Vancouver, ISO, and other styles
10

Van, Wyk Michael Antonie. "Chaos in electronics." Thesis, 2012. http://hdl.handle.net/10210/6037.

Full text
Abstract:
Ph.D.<br>The work presented in this dissertation is concerned with the application of Chaos Theory to the field of Electrical and Electronic Engineering. A comprehensive study on electrical and electronic systems which exhibit chaotic behaviour, forms an integral part of this work. The objective of this survey is, firstly, to assess how widely chaos occurs in the field of electrical engineering. Secondly, the survey attempts to determine how successfully chaotic behaviour (in electrical systems) is identified and characterized. Finally, the survey aims to determine to what extent nonlinear phe
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Chaotic behavior in systems – Mathematical models"

1

Skiadas, Christos H. Chaotic modelling and simulation: analysis of chaotic models, attractors and forms. Chapman & Hall/CRC, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

H, Skiadas Christos, and Dimotikalis Ioannis, eds. Chaotic systems: Theory and applications. World Scientific, 2010.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Hommes, Carsien Harm. Chaotic dynamics in economic models: Some simple case-studies. Wolters-Noordhoff, 1991.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Chaotic dynamics applied to biological information processing. Akademie-Verlag, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Nicolis, J. Chaotic dynamics applied to biological information processing. Akademie-Verlag, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Griffiths, H. Brian. Mathematics of models: Continuous and discrete dynamical systems. E. Horwood, 1993.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Zawadzki, Henryk. Chaotyczne systemy dynamiczne: Elementy teorii i wybrane przykłady ekonomiczne. Akademia Ekonomiczna im. Karola Adamieckiego, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Chaotic Modeling, Simulation, and Applications International Conference (3rd 2010 Chania, Greece). Chaos theory: Modeling, simulation and applications : selected papers from the 3rd Chaotic Modeling and Simulation Conference (CHAOS2010), Chania, Crete, Greece, 1-4 June 2010. World Scientific, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

The complexity of dynamical systems: A multi-disciplinary perspective. Wiley-VCH, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

service), SpringerLink (Online, ed. Polystochastic Models for Complexity. Springer-Verlag Berlin Heidelberg, 2010.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Chaotic behavior in systems – Mathematical models"

1

Neimark, Yu I., and P. S. Landa. "Mathematical Models of Deterministic Discrete and Continuous Dynamical Systems." In Stochastic and Chaotic Oscillations. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2596-3_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Gore, Anil, and Sharayu Paranjpe. "Optimal Decision Models in Animal Behavior Systems." In A Course in Mathematical and Statistical Ecology. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9811-8_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Dostov, Victor, Pavel Shust, and Svetlana Krivoruchko. "Using Mathematical Models for Analysis and Prediction of Payment Systems Behavior." In Proceedings of Fifth International Congress on Information and Communication Technology. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5856-6_58.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Pham, Viet-Thanh, Christos Volos, and Sundarapandian Vaidyanathan. "Chaotic Attractor in a Novel Time-Delayed System with a Saturation Function." In Handbook of Research on Advanced Intelligent Control Engineering and Automation. IGI Global, 2015. http://dx.doi.org/10.4018/978-1-4666-7248-2.ch008.

Full text
Abstract:
From the viewpoint of engineering applications, time delay is useful for constructing a chaotic signal generator, which is the major part of diverse potential applications. Although different mathematical models of time-delay systems have been known, few models can exhibit chaotic behaviors. Motivated by attractive features and potential applications of time-delay models, a new chaotic system with a single scalar time delay and a nonlinearity described by a saturation function is proposed in this chapter. Nonlinear behavior of the system is discovered through bifurcation diagrams and the maximum Lyapunov exponent with the variance of system parameters. Interestingly, the system shows double-scroll chaotic attractors for some suitable chosen system parameters. In order to confirm the correction and feasibility of the theoretical model, the system is also implemented with analog electronic circuit. Finally, a practical application of such circuit is discussed at the end of this chapter.
APA, Harvard, Vancouver, ISO, and other styles
5

Selvam, A. George Maria, and R. Dhineshbabu. "Bifurcation and Chaos in a Discrete Fractional Order Prey-Predator System Involving Infection in Prey." In Mathematical Models of Infectious Diseases and Social Issues. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-3741-1.ch005.

Full text
Abstract:
This chapter considers the dynamical behavior of a new form of fractional order three-dimensional continuous time prey-predator system and its discretized counterpart. Existence and uniqueness of solutions is obtained. The dynamic nature of the model is discussed through local stability analysis of the steady states. Qualitative behavior of the model reveals rich and complex dynamics as exhibited by the discrete-time fractional order model. Moreover, the bifurcation theory is applied to investigate the presence of Neimark-Sacker and period-doubling bifurcations at the coexistence steady state taking h as a bifurcation parameter for the discrete fractional order system. Also, the trajectories, phase diagrams, limit cycles, bifurcation diagrams, and chaotic attractors are obtained for biologically meaningful sets of parameter values for the discretized system. Finally, the analytical results are strengthened with appropriate numerical examples and they demonstrate the chaotic behavior over a range of parameters. Chaos control is achieved by the hybrid control method.
APA, Harvard, Vancouver, ISO, and other styles
6

García, Alejandro, Isaac Chairez, and Alexander Poznyak. "Identification and State Observation of Uncertain Chaotic Systems Using Projectional Differential Neural Networks." In Chaos Synchronization and Cryptography for Secure Communications. IGI Global, 2011. http://dx.doi.org/10.4018/978-1-61520-737-4.ch003.

Full text
Abstract:
The following chapter tackles the nonparametric identification and the state estimation for uncertain chaotic systems by the dynamic neural network approach. The developed algorithms consider the presence of additive noise in the state, for the case of identification, and in the measurable output, for the state estimation case. Mathematical model of the chaotic system is considered unknown, only the chaotic behavior as well as the maximal and minimal bound for each one of state variables are taking into account in the algorithm. Mathematical analysis and simulation results are presented. Application considering the so-called electronic Chua’s circuit is carried out; particularly a scheme of information encryption by the neural network observer with a noisy transmission is showed. Formal mathematical proofs and figures, illustrate the robustness of proposed algorithms mainly in the presence of noises with high magnitude.
APA, Harvard, Vancouver, ISO, and other styles
7

Jayswal, Ekta N., and Purvi M. Pandya. "Fractional-Order Model to Visualize the Effect of Plastic Pollution on Rain." In Mathematical Models of Infectious Diseases and Social Issues. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-3741-1.ch008.

Full text
Abstract:
In this era, one of the biggest issues faced by humans is due to plastic pollution as it dwells in environment and depletes the ecosystem. This affects the climate and disturbs the chain of rain, which is the common source of obtaining water body. Also, this resulting pollution causes the toxicity in rain. Accordingly, the mathematical model is framed by considering fractional order derivative. Pollution free and endemic equilibrium points are worked out for integer order system of non-linear differential equations. Local stability of equilibrium points brings attention on dynamical behavior of model with sufficient condition. With the help of basic reproduction number, bifurcation is analyzed, which shows the chaotic nature of this model. Providing Caputo derivative of fractional order, a numerical simulation has been done by taking different values of order for the system.
APA, Harvard, Vancouver, ISO, and other styles
8

Singh, Anuraj. "Journey from Order to Chaos and Returning." In Mathematical Concepts and Applications in Mechanical Engineering and Mechatronics. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-1639-2.ch018.

Full text
Abstract:
In this chapter, different aspects have been described to investigate the ecological system with respect to several factors that may be responsible for emergence of complex behaviors. Some mathematical models incorporate time delay(s) such as delay due to maturation, gestation and other kinds of negative feedback. These nonlinear delay models have led to complexities in the system. The emphasis is to explore the complex dynamical behaviors including chaos in ecological models with respect to different control parameters. Motivation behind synchronization and stabilization of chaos in the system has also been emphasized. Hence, in this chapter attempts have been made to study order and chaos in variety of models applicable to multi-species ecological systems. Such a study is important since the ecological systems have all the necessary ingredients to be able to support chaos. The attempt is made to brief different mechanism that may bring order into chaotic systems or vice versa.
APA, Harvard, Vancouver, ISO, and other styles
9

Kornreich, Philipp. "Chaotic Systems." In Mathematical Models of Information and Stochastic Systems. CRC Press, 2018. http://dx.doi.org/10.1201/9781315219158-13.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

"Chaotic Systems." In Mathematical Models of Information and Stochastic Systems. CRC Press, 2008. http://dx.doi.org/10.1201/b15825-14.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Chaotic behavior in systems – Mathematical models"

1

dos Santos Rodrigues, Kleber, Jose´ Manoel Balthazar, Angelo Marcelo Tusset, and Bento Rodrigues Pontes Ju´nior. "On a Control Design to an AFM Microcantilever Beam, Operating in a Tapping-Mode, With Irregular Behavior." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47543.

Full text
Abstract:
In last decades, control of nonlinear dynamic systems became an important and interesting problem studied by many authors, what results the appearance of lots of works about this subject in the scientific literature. In this paper, an Atomic Force Microscope micro cantilever operating in tapping mode was modeled, and its behavior was studied using bifurcation diagrams, phase portraits, time history, Poincare maps and Lyapunov exponents. Chaos was detected in an interval of time; those phenomena undermine the achievement of accurate images by the sample surface. In the mathematical model, perio
APA, Harvard, Vancouver, ISO, and other styles
2

Крылова, Екатерина, Ekaterina Krylova, Ирина Папкова, et al. "Visualization of Scenarios for the Transition of Oscillations from Harmonic to Chaotic for a Micropolar Kirchhoff-Love Cylindrical Meshed Panel." In 29th International Conference on Computer Graphics, Image Processing and Computer Vision, Visualization Systems and the Virtual Environment GraphiCon'2019. Bryansk State Technical University, 2019. http://dx.doi.org/10.30987/graphicon-2019-2-66-70.

Full text
Abstract:
On the basis of the kinematic hypotheses of the Kirchhoff-Love built a mathematical model of micropolar cylindrical meshed panels vibrations under the action of a normal distributed load. In order to take into account the size-dependent behavior, the panel material is considered as a Cosser’s pseudocontinuum with constrained particle rotation. The mesh structure is taken into account by the phenomenological continuum model of G. I. Pshenichnov. For a cylindrical panel consisting of two systems of mutually perpendicular edges, a scenario of transition of oscillations from harmonic to chaotic is
APA, Harvard, Vancouver, ISO, and other styles
3

Cull, P. "Linear Fractionals - Simple Models with Chaotic-like Behavior." In COMPUTING ANTICIPATORY SYSTEMS: CASYS 2001 - Fifth International Conference. AIP, 2002. http://dx.doi.org/10.1063/1.1503683.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Saadatnia, Zia, and Ebrahim Esmailzadeh. "Chaotic Flexural Oscillations of Embedded Non-Local Nanotubes Subjected to Axial Harmonic Force." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-68317.

Full text
Abstract:
Chaotic behavior of an embedded carbon nanotube subjected to an external excitation and the combinational static-dynamic axial loads is investigated. Mathematical formulation has been developed based on the non-local theory in order to reflect the small-scale effects. The tube is supported by the Kelvin-Voigt viscoelastic foundation and the Galerkin method is utilized to solve the governing nonlinear differential equations. The vibration behavior of the system for the parameters of a real model is studied and different vibration responses of the nanotube such as the periodic, quasi-periodic an
APA, Harvard, Vancouver, ISO, and other styles
5

Baruffaldi, Leonardo B., Henrique B. de Arau´jo, and Auteliano A. dos Santos. "A Multibody System Approach to the Wedge Damper Friction Formulation." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11667.

Full text
Abstract:
Secondary suspension of railway three-piece-trucks hasn’t changed much in the past century. Despite this, its most common damping element, the friction wedge, is not yet fully understood. The frictional damping is a known source of non-linearity and non-smoothness that imposes chaotic behaviors to the system, making the mathematical modeling of such devices a difficult task. The present paper presents a multi-body model of a three-piece-truck’s secondary suspension and the results of its simulations with three types of commonly used friction models.
APA, Harvard, Vancouver, ISO, and other styles
6

Cammarano, Andrea, Stephen G. Burrow, and David A. W. Barton. "An Energy Harvester With Bistable Compliance Characteristics." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29222.

Full text
Abstract:
In this paper we present a bistable energy harvesting device. The bi-stability is produced by the particular arrangement of the permanent magnets which form the electro-magnetic transduction mechanism, in conjunction with an iron-cored stator. The harvester features a high magnetic loading but the resulting bistable compliance introduces complex dynamic behaviors. An experimental approach is first used to characterize the device, from which a simplified mathematical model has been developed. The model is then validated by comparison with experimental data. It has been shown that both chaotic a
APA, Harvard, Vancouver, ISO, and other styles
7

Romeo, Francesco, and Ioannis T. Georgiou. "Multiphysics Chaotic Interaction in a Coupled Electro-Magneto-Mechanical System." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38714.

Full text
Abstract:
The dynamic response of an electro-magneto-mechanical coupled system excited by a harmonic voltage is addressed. The system mathematical model involves coupling quadratic nonlinearities due to the dependence of the inductance on the displacement of the metallic oscillator mass; as a result, a strongly nonlinear behavior characterizes the system’s dynamic response. The numerical analysis is carried out through Poincaré mappings and dynamic continuation. The initial periodic attractor is shown to evolve into higher order and quasi-periodic attractors as the forcing amplitude increases. The pecul
APA, Harvard, Vancouver, ISO, and other styles
8

Xiaohong, Jia, Ji Linhong, Jin Dewen, and Zhang Jichuan. "Theoretical and Experimental Study of the Dynamics of the Tripod-Ball Sliding Joint With Clearance." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21555.

Full text
Abstract:
Abstract Clearance is inevitable in the kinematic joints of mechanisms. In this paper the dynamic behavior of a crank-slider mechanism with clearance in its tripod-ball sliding joint is investigated theoretically and experimentally. The mathematical model of this new-type joint is established, and the new concepts of basal system and active system are put forward. Based on the mode-change criterion established in this paper, the consistent equations of motion in full-scale are derived by using Kane method. The experimental rig was set up to measure the effects of the clearance on the dynamic r
APA, Harvard, Vancouver, ISO, and other styles
9

Lee, Chi-Wook, Ali Seireg, and Joseph Duffy. "Chaotic Behavior of a Two Mass Bouncing System." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0185.

Full text
Abstract:
Abstract This study investigates the behavior of simple two mass bouncing systems which are released from a certain height. A nonlinearity exists in the discontinuity of the flight and the ground modes, although the behavior of the systems is linear in each mode. Such oscillators provide models for mechanical systems such as legged systems for hopping robots. The phase plane technique and the power spectrum analysis are used to investigate the stability of bouncing systems and the chaos that may occur. The effects of the spring constants and the damping coefficient at the ground contact on the
APA, Harvard, Vancouver, ISO, and other styles
10

Stegou-Sagia, A., and D. V. Fragkou. "Influence of Drying Conditions and Mathematical Models on the Thin-Layer Drying of Mushrooms." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20554.

Full text
Abstract:
In the present research, experimental data from several studies about drying behavior of mushrooms have been selected and used to compare different drying methods and different mathematical thin layer drying models to simulate mushroom drying rates. The white button (Agaricus Bisporus), the oyster (Pleurotus Ostreatus) and the milky mushroom slices have been considered for drying in different dryers such as hot air cabinet dryer and fluidized bed dryer with different slice thicknesses, drying air temperatures (45 °C to 90 °C) and drying air velocities (0.2 m/s to 5 m/s). The entire drying proc
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Chaotic behavior in systems – Mathematical models"

1

Levi, Mark. Mathematical Models of Non-Linear Mechanical and Electrical Systems and Their Qualitative Behavior. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada248847.

Full text
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography