Topics On Chaotic Systems

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Advances and Applications in Chaotic Systems

Sundarapandian Vaidyanathan,Christos Volos
Advances and Applications in Chaotic Systems Book PDF

Author : Sundarapandian Vaidyanathan,Christos Volos
Publisher : Springer
Page : 600 pages
File Size : 47,5 Mb
Release : 2016-03-22
Category : Technology & Engineering
ISBN : 9783319302799

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Advances and Applications in Chaotic Systems by Sundarapandian Vaidyanathan,Christos Volos Pdf

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.

Topics on Chaotic Systems

Charilaos Skiadas,Ioannis Dimotikalis
Topics on Chaotic Systems Book PDF

Author : Charilaos Skiadas,Ioannis Dimotikalis
Publisher : World Scientific
Page : 435 pages
File Size : 47,6 Mb
Release : 2009
Category : Technology & Engineering
ISBN : 9789814271332

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Topics on Chaotic Systems by Charilaos Skiadas,Ioannis Dimotikalis Pdf

This volume includes the best papers presented at the CHAOS 2008 International Conference on Chaotic Modeling, Simulation and Applications. It provides a valuable collection of new ideas, methods, and techniques in the field of nonlinear dynamics, chaos, fractals and their applications in general science and in engineering sciences. It touches on many fields such as chaos, dynamical systems, nonlinear systems, fractals and chaotic attractors. It also covers mechanics, hydrofluid dynamics, chaos in meteorology and cosmology, Hamiltonian and quantum chaos, chaos in biology and genetics, chaotic control, and chaos in economy and markets, and chaotic simulations; thus, containing cutting-edge interdisciplinary research with high-interest applications. These contributions present new solutions by analyzing the relevant data and through the use of recent advances in different fields, especially in chaotic simulation methods and techniques.

Chaotic Systems with Multistability and Hidden Attractors

Xiong Wang,Nikolay V. Kuznetsov,Guanrong Chen
Chaotic Systems with Multistability and Hidden Attractors Book PDF

Author : Xiong Wang,Nikolay V. Kuznetsov,Guanrong Chen
Publisher : Springer Nature
Page : 661 pages
File Size : 41,7 Mb
Release : 2021-12-01
Category : Technology & Engineering
ISBN : 9783030758219

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Chaotic Systems with Multistability and Hidden Attractors by Xiong Wang,Nikolay V. Kuznetsov,Guanrong Chen Pdf

This book presents a collection of new articles written by world-leading experts and active researchers to present their recent finding and progress in the new area of chaotic systems and dynamics, regarding emerging subjects of unconventional chaotic systems and their complex dynamics.It guide readers directly to the research front of the new scientific studies. This book is unique of its kind in the current literature, presenting broad scientific research topics including multistability and hidden attractors in unconventional chaotic systems, such as chaotic systems without equilibria, with only stable equilibria, with a curve or a surface of equilibria. The book describes many novel phenomena observed from chaotic systems, such as non-Shilnikov type chaos, coexistence of different types of attractors, and spontaneous symmetry breaking in chaotic systems. The book presents state-of-the-art scientific research progress in the field with both theoretical advances and potential applications. This book is suitable for all researchers and professionals in the areas of nonlinear dynamics and complex systems, including research professionals, physicists, applied mathematicians, computer scientists and, in particular, graduate students in related fields.

Chaotic Systems

Christos H. Skiadas,Ioannis Dimotikalis
Chaotic Systems Book PDF

Author : Christos H. Skiadas,Ioannis Dimotikalis
Publisher : World Scientific
Page : 411 pages
File Size : 46,6 Mb
Release : 2010
Category : Science
ISBN : 9789814299725

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Chaotic Systems by Christos H. Skiadas,Ioannis Dimotikalis Pdf

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 1-5, 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.

Topics on Chaotic Systems

Christos H. Skiadas
Topics on Chaotic Systems Book PDF

Author : Christos H. Skiadas
Publisher : World Scientific
Page : 435 pages
File Size : 48,5 Mb
Release : 2009
Category : Science
ISBN : 9789814271349

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Topics on Chaotic Systems by Christos H. Skiadas Pdf

This volume includes the best papers presented at the CHAOS 2008 International Conference on Chaotic Modeling, Simulation and Applications. It provides a valuable collection of new ideas, methods, and techniques in the field of nonlinear dynamics, chaos, fractals and their applications in general science and in engineering sciences. It touches on many fields such as chaos, dynamical systems, nonlinear systems, fractals and chaotic attractors. It also covers mechanics, hydrofluid dynamics, chaos in meteorology and cosmology, Hamiltonian and quantum chaos, chaos in biology and genetics, chaotic control, and chaos in economy and markets, and chaotic simulations; thus, containing cutting-edge interdisciplinary research with high-interest applications. These contributions present new solutions by analyzing the relevant data and through the use of recent advances in different fields, especially in chaotic simulation methods and techniques.

Analysis and Simulation of Chaotic Systems

Frank C. Hoppensteadt
Analysis and Simulation of Chaotic Systems Book PDF

Author : Frank C. Hoppensteadt
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 48,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475722758

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Analysis and Simulation of Chaotic Systems by Frank C. Hoppensteadt Pdf

Analysis and Simulation of Chaotic Systems is a text designed to be used at the graduate level in applied mathematics for students from mathematics, engineering, physics, chemistry and biology. The book can be used as a stand-alone text for a full year course or it can be heavily supplemented with material of more mathematical, more engineering or more scientific nature. Computations and computer simulations are used throughout this text to illustrate phenomena discussed and to supply readers with probes to use on new problems.

Nonlinear Dynamics and Chaos: Advances and Perspectives

Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura
Nonlinear Dynamics and Chaos Advances and Perspectives Book PDF

Author : Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura
Publisher : Springer
Page : 300 pages
File Size : 49,6 Mb
Release : 2010-05-17
Category : Science
ISBN : 9783642046292

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Nonlinear Dynamics and Chaos: Advances and Perspectives by Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura Pdf

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Chaos

Kathleen T. Alligood,Tim D. Sauer,James A. Yorke
Chaos Book PDF

Author : Kathleen T. Alligood,Tim D. Sauer,James A. Yorke
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 42,7 Mb
Release : 2000-09-27
Category : Mathematics
ISBN : 9780387946771

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Chaos by Kathleen T. Alligood,Tim D. Sauer,James A. Yorke Pdf

Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.

Advances in Chaos Theory and Intelligent Control

Ahmad Taher Azar,Sundarapandian Vaidyanathan
Advances in Chaos Theory and Intelligent Control Book PDF

Author : Ahmad Taher Azar,Sundarapandian Vaidyanathan
Publisher : Springer
Page : 873 pages
File Size : 44,5 Mb
Release : 2016-04-15
Category : Technology & Engineering
ISBN : 9783319303406

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Advances in Chaos Theory and Intelligent Control by Ahmad Taher Azar,Sundarapandian Vaidyanathan Pdf

The book reports on the latest advances in and applications of chaos theory and intelligent control. Written by eminent scientists and active researchers and using a clear, matter-of-fact style, it covers advanced theories, methods, and applications in a variety of research areas, and explains key concepts in modeling, analysis, and control of chaotic and hyperchaotic systems. Topics include fractional chaotic systems, chaos control, chaos synchronization, memristors, jerk circuits, chaotic systems with hidden attractors, mechanical and biological chaos, and circuit realization of chaotic systems. The book further covers fuzzy logic controllers, evolutionary algorithms, swarm intelligence, and petri nets among other topics. Not only does it provide the readers with chaos fundamentals and intelligent control-based algorithms; it also discusses key applications of chaos as well as multidisciplinary solutions developed via intelligent control. The book is a timely and comprehensive reference guide for graduate students, researchers, and practitioners in the areas of chaos theory and intelligent control.

Chaos

Angelo Vulpiani
Chaos Book PDF

Author : Angelo Vulpiani
Publisher : World Scientific
Page : 482 pages
File Size : 55,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814277662

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Chaos by Angelo Vulpiani Pdf

Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3

Santo Banerjee,Lamberto Rondoni
Applications of Chaos and Nonlinear Dynamics in Science and Engineering Vol 3 Book PDF

Author : Santo Banerjee,Lamberto Rondoni
Publisher : Springer
Page : 297 pages
File Size : 41,6 Mb
Release : 2013-06-12
Category : Science
ISBN : 9783642340178

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Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 by Santo Banerjee,Lamberto Rondoni Pdf

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This third volume concentrates on reviewing further relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such fluctuation relations and chaotic dynamics in physics, fractals and their applications in epileptic seizures, as well as chaos synchronization. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Nonlinear Dynamics and Chaos

Steven H. Strogatz
Nonlinear Dynamics and Chaos Book PDF

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 43,9 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems

Elhadj Zeraoulia
Frontiers in the Study of Chaotic Dynamical Systems with Open Problems Book PDF

Author : Elhadj Zeraoulia
Publisher : World Scientific
Page : 268 pages
File Size : 42,9 Mb
Release : 2011
Category : Science
ISBN : 9789814340700

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Frontiers in the Study of Chaotic Dynamical Systems with Open Problems by Elhadj Zeraoulia Pdf

This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field.

Coping with Chaos

Edward Ott,Tim Sauer,James A. Yorke
Coping with Chaos Book PDF

Author : Edward Ott,Tim Sauer,James A. Yorke
Publisher : Wiley-VCH
Page : 432 pages
File Size : 50,6 Mb
Release : 1994-09-27
Category : Science
ISBN : 0471025569

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Coping with Chaos by Edward Ott,Tim Sauer,James A. Yorke Pdf

The first unified presentation of new developments in the analysis and exploitation of chaotic systems... Mathematicians have been aware of chaotic dynamics since Poincar?'s work at the turn of the century. But, as the turn of yet another century approaches, physical scientists and engineers have begun to use their understanding of chaos theory to analyze chaotic experimental time series data. Some researchers have even used the presence of chaos to achieve practical goals. To do this, they have had to work with dynamical processes for which the equations were either not known or were too complex to be useful. In other words, they have been coping with chaos. Coping with Chaos is the first book to bring together recent advances in the interpretive and practical applications of chaos, which hold great promise for broad applicability throughout the physical sciences and engineering. Together with an introduction to chaos theory, this book provides detailed reports on methods of analyzing experimental time series data from chaotic systems and studies in which the unique attributes of chaos are put to practical use. Topics discussed in this book include: * Theory of chaotic dynamics * Embedding techniques for the analysis of experimental data * Calculation of dimension and Lyapunov exponents * Determination of periodic orbits and symbolic dynamics * Prediction of chaotic time series * Noise filtering of chaotic data * Control of chaotic systems * The use of chaotic signals for communication * And more

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

Mark Edelman,Elbert E. N. Macau,Miguel A. F. Sanjuan
Chaotic Fractional and Complex Dynamics New Insights and Perspectives Book PDF

Author : Mark Edelman,Elbert E. N. Macau,Miguel A. F. Sanjuan
Publisher : Springer
Page : 315 pages
File Size : 55,8 Mb
Release : 2017-11-17
Category : Science
ISBN : 9783319681092

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Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives by Mark Edelman,Elbert E. N. Macau,Miguel A. F. Sanjuan Pdf

The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.