Chaotic Oscillators
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Chaotic Oscillators
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Author : Tomasz Kapitaniak
language : en
Publisher: World Scientific
Release Date : 1992
Chaotic Oscillators written by Tomasz Kapitaniak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.
Chaos In Nonlinear Oscillators
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Author : Muthusamy Lakshmanan
language : en
Publisher: World Scientific
Release Date : 1996
Chaos In Nonlinear Oscillators written by Muthusamy Lakshmanan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.
Synchronization And Control Of Chaos
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Author : J M González-Miranda
language : en
Publisher: World Scientific
Release Date : 2004-10-12
Synchronization And Control Of Chaos written by J M González-Miranda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-12 with Science categories.
This book presents a comprehensive overview of the research and latest developments in the field of the dynamics of coupled and driven chaotic oscillators, aimed at a wide audience. Since 1990, there has been very active research devoted to the field, culminating in a considerable body of knowledge, while active research continues. The results presented in the book will be valuable for scientific analysis and explanation in various different scientific disciplines, with potential applications in medicine and engineering. The contents include a selection of the most basic theoretical results, as well as experiments and applications presented at a mathematical level suited to readers working in non-hard sciences. It will also be of interest to physicists and mathematicians looking for an introduction to the field. Contents:Dynamics of Coupled and Driven Harmonic OscillatorsChaotic OscillatorsPeriodically Driven Chaotic OscillatorsChaotic Oscillators Driven by Chaotic SignalsPerturbing Chaotic Systems to Control ChaosMutually Coupled Identical Chaotic OscillatorMutually Coupled Non-Identical OscillatorsOn the Dynamics of Coupled and Driven Chaotic Oscillators Readership: Postgraduate students, researchers, engineers and academics interested in the control or synchronization of chaos. Key Features:A broad and systematic account of research on dynamics of coupled and driven chaotic oscillatorsKeywords:Nonlinear Science;Dynamical Systems;Chaos;Deterministic Chaos;Chaotic Oscillators;Synchronization of Chaos;Control of Chaos;Applications of Chaos
Elegant Circuits Simple Chaotic Oscillators
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Author : Julien Clinton Sprott
language : en
Publisher: World Scientific
Release Date : 2021-12-17
Elegant Circuits Simple Chaotic Oscillators written by Julien Clinton Sprott and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-17 with Science categories.
Chaos is the study of the underlying determinism in the seemingly random phenomena that occur all around us. One of the best experimental demonstrations of chaos occurs in electrical circuits when the parameters are chosen carefully. We will show you how to construct such chaotic circuits for use in your own studies and demonstrations while teaching you the basics of chaos.This book should be of interest to researchers and hobbyists looking for a simple way to produce a chaotic signal. It should also be useful to students and their instructors as an engaging way to learn about chaotic dynamics and electronic circuits. The book assumes only an elementary knowledge of calculus and the ability to understand a schematic diagram and the components that it contains.You will get the most out of this book if you can construct the circuits for yourself. There is no substitute for the thrill and insight of seeing the output of a circuit you built unfold as the trajectory wanders in real time across your oscilloscope screen. A goal of this book is to inspire and delight as well as to teach.
Chaotic Synchronization
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Author : Erik Mosekilde
language : en
Publisher: World Scientific
Release Date : 2002
Chaotic Synchronization written by Erik Mosekilde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
A guide to the fascinating new concept of chaotic sychronization.
Bifurcation And Chaos In Coupled Oscillators
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Author : Jan Awrejcewicz
language : en
Publisher: World Scientific
Release Date : 1991
Bifurcation And Chaos In Coupled Oscillators written by Jan Awrejcewicz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Technology & Engineering categories.
This book develops a general methodological approach to investigate complex physical systems presented by the author in a previous book. The nonlinear dynamics of coupled oscillators is investigated numerically and analytically. Three different mechanical, and one biomechanical, examples are used to demonstrate a general systematical approach to the study of dissipative dynamical systems. Many original examples of special chaotic behavior are discussed and illustrated.
Chaos In Circuits And Systems
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Author : Guanrong Chen
language : en
Publisher: World Scientific
Release Date : 2002
Chaos In Circuits And Systems written by Guanrong Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Technology & Engineering categories.
In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.
Robust Synchronization Of Chaotic Systems Via Feedback
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Author : Ricardo Femat
language : en
Publisher: Springer
Release Date : 2009-01-23
Robust Synchronization Of Chaotic Systems Via Feedback written by Ricardo Femat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-23 with Technology & Engineering categories.
This pages include the results derived during last ten years about both suppression and synchronization of chaotic -continuous time- systems. Along this time, our concept was to study how the intrinsic properties of dynamical systems can be exploited to suppress and to synchronize the chaotic behavior and what synchronization phen- ena can be found under feedback interconnection. Our findings have caused surprise to us and have stimulated our astonishing capability. Perhaps, reader can imagine our faces with opens eyes like children seeing around objects; which are possibly obvious for others and novel for us. A compilation of our surprises about these findings is being described along this book. Book contains both objectives to share our ama- ment and to show our perspective on synchronization of chaotic systems. Thus, while we were writing the preface, we discussed its scope. Thinking as a book readers, we found that a preface should answer, in few words, the following question: What can the reader find in this book?, reader can find our steps toward understanding of c- otic behavior and the possibility of suppressing and synchronizing it. We firstly show the chaos suppression form experimental domain to potential implementation in high tech system as a levitation system based on High Temperature Superconductors (HTS). This chapter is used as departing point towards a more complicated problem the chaotic synchronization. Then, reader travels by the synchronization of the chaotic behavior world throughout distinct feedback approaches.
Optimization Of Integer Fractional Order Chaotic Systems By Metaheuristics And Their Electronic Realization
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Author : Esteban Tlelo-Cuautle
language : en
Publisher: CRC Press
Release Date : 2021-05-09
Optimization Of Integer Fractional Order Chaotic Systems By Metaheuristics And Their Electronic Realization written by Esteban Tlelo-Cuautle and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-09 with Mathematics categories.
Mathematicians have devised different chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can generate chaos or hyperchaos. The numerical methods to simulate those integer and fractional-order chaotic systems are quite different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One challenge is estimating the step-size to run a numerical method. It can be done analyzing the eigenvalues of self-excited attractors, while for hidden attractors it is difficult to evaluate the equilibrium points that are required to formulate the Jacobian matrices. Time simulation of fractional-order chaotic oscillators also requires estimating a memory length to achieve exact results, and it is associated to memories in hardware design. In this manner, simulating chaotic/hyperchaotic oscillators of integer/fractional-order and with self-excited/hidden attractors is quite important to evaluate their Lyapunov exponents, Kaplan-Yorke dimension and entropy. Further, to improve the dynamics of the oscillators, their main characteristics can be optimized applying metaheuristics, which basically consists of varying the values of the coefficients of a mathematical model. The optimized models can then be implemented using commercially available amplifiers, field-programmable analog arrays (FPAA), field-programmable gate arrays (FPGA), microcontrollers, graphic processing units, and even using nanometer technology of integrated circuits. The book describes the application of different numerical methods to simulate integer/fractional-order chaotic systems. These methods are used within optimization loops to maximize positive Lyapunov exponents, Kaplan-Yorke dimension, and entropy. Single and multi-objective optimization approaches applying metaheuristics are described, as well as their tuning techniques to generate feasible solutions that are suitable for electronic implementation. The book details several applications of chaotic oscillators such as in random bit/number generators, cryptography, secure communications, robotics, and Internet of Things.
Recent Advances In Chaotic Systems And Synchronization
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Author : Olfa Boubaker
language : en
Publisher: Academic Press
Release Date : 2018-11-05
Recent Advances In Chaotic Systems And Synchronization written by Olfa Boubaker and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Computers categories.
Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems. Furthermore, it offers an array of new, real-world applications in the field. Written by eminent scientists in the field of control theory and nonlinear systems from 19 countries (Cameroon, China, Ethiopia, France, Greece, India, Italia, Iran, Japan, Mexico, and more), this book covers the latest advances in chaos theory, along with the efficiency of novel synchronization approaches. Readers will find the fundamentals and algorithms related to the analysis and synchronization of chaotic systems, along with key applications, including electronic design, text and image encryption, and robot control and tracking. Explores and evaluates the latest real-world applications of chaos across various engineering and biomedical engineering fields Investigates advances in chaos synchronization techniques, including the continuous sliding-mode control approach, hybrid synchronization between chaotic and hyperchaotic systems, and neural network synchronization Presents recent advances in chaotic systems through an overview of new systems and new proprieties