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Chaotic Systems

Chaotic Systems PDF

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Author: Christos H. Skiadas
Publisher: World Scientific
ISBN: 9814299715
Size: 48.29 MB
Format: PDF
Category : Science
Languages : en
Pages : 396
View: 6740

Book Description: This volume contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, June 15, 2009. The aim of the conference was to invite and bring together people working in interesting topics of chaotic modeling, nonlinear and dynamical systems and chaotic simulation. The volume presents theoretical and applied contributions on chaotic systems. Papers from several nonlinear analysis and chaotic fields are included and new and very important results are presented. Emphasis was given to the selection of works that have significant impact in the chaotic field and open new horizons to further develop related topics and subjects. Even more the selected papers are addressed to an interdisciplinary audience aiming at the broad dissemination of the theory and practice of chaotic modeling and simulation and nonlinear science.


Thermodynamics Of Chaotic Systems

Thermodynamics of Chaotic Systems PDF

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Author: Christian Beck
Publisher: Cambridge University Press
ISBN: 9780521484510
Size: 47.10 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 286
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Book Description: This book deals with the various thermodynamic concepts used for the analysis of nonlinear dynamical systems. The most important invariants used to characterize chaotic systems are introduced in a way that stresses the interconnections with thermodynamics and statistical mechanics. Among the subjects treated are probabilistic aspects of chaotic dynamics, the symbolic dynamics technique, information measures, the maximum entropy principle, general thermodynamic relations, spin systems, fractals and multifractals, expansion rate and information loss, the topological pressure, transfer operator methods, repellers and escape. The more advanced chapters deal with the thermodynamic formalism for expanding maps, thermodynamic analysis of chaotic systems with several intensive parameters, and phase transitions in nonlinear dynamics.


Practical Numerical Algorithms For Chaotic Systems

Practical Numerical Algorithms for Chaotic Systems PDF

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Author: Thomas S. Parker
Publisher: Springer Science & Business Media
ISBN: 1461234867
Size: 57.16 MB
Format: PDF
Category : Science
Languages : en
Pages : 348
View: 4830

Book Description: One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions.


Advances And Applications In Chaotic Systems

Advances and Applications in Chaotic Systems PDF

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Author: Sundarapandian Vaidyanathan
Publisher: Springer
ISBN: 3319302795
Size: 55.41 MB
Format: PDF, ePub, Docs
Category : Technology & Engineering
Languages : en
Pages : 600
View: 6397

Book Description: This book reports on the latest advances and applications of chaotic systems. It consists of 25 contributed chapters by experts who are specialized in the various topics addressed in this book. The chapters cover a broad range of topics of chaotic systems such as chaos, hyperchaos, jerk systems, hyperjerk systems, conservative and dissipative systems, circulant chaotic systems, multi-scroll chaotic systems, finance chaotic system, highly chaotic systems, chaos control, chaos synchronization, circuit realization and applications of chaos theory in secure communications, mobile robot, memristors, cellular neural networks, etc. Special importance was given to chapters offering practical solutions, modeling and novel control methods for the recent research problems in chaos theory. This book will serve as a reference book for graduate students and researchers with a basic knowledge of chaos theory and control systems. The resulting design procedures on the chaotic systems are emphasized using MATLAB software.


Evolutionary Algorithms And Chaotic Systems

Evolutionary Algorithms and Chaotic Systems PDF

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Author: Ivan Zelinka
Publisher: Springer Science & Business Media
ISBN: 3642107060
Size: 73.78 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 560
View: 7025

Book Description: This book discusses the mutual intersection of two fields of research: evolutionary computation, which can handle tasks such as control of various chaotic systems, and deterministic chaos, which is investigated as a behavioral part of evolutionary algorithms.


Naval Research Reviews

Naval Research Reviews PDF

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Author:
Publisher:
ISBN:
Size: 45.76 MB
Format: PDF, Mobi
Category : Naval research
Languages : en
Pages :
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Book Description:


Applied Mechanics Reviews

Applied Mechanics Reviews PDF

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Author:
Publisher:
ISBN:
Size: 34.97 MB
Format: PDF
Category : Mechanics, Applied
Languages : en
Pages :
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Analysis And Simulation Of Chaotic Systems

Analysis and Simulation of Chaotic Systems PDF

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Author: Frank C. Hoppensteadt
Publisher: Springer Science & Business Media
ISBN: 9780387989433
Size: 11.64 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 318
View: 2516

Book Description: Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.


Physics Briefs

Physics Briefs PDF

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Author:
Publisher:
ISBN:
Size: 54.90 MB
Format: PDF, Docs
Category : Physics
Languages : en
Pages :
View: 5936

Book Description: