High Dimensional Chaotic And Attractor Systems

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High Dimensional Chaotic And Attractor Systems

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Author : Vladimir G. Ivancevic
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-06

High Dimensional Chaotic And Attractor Systems written by Vladimir G. Ivancevic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-06 with Science categories.

This graduate–level textbook is devoted to understanding, prediction and control of high–dimensional chaotic and attractor systems of real life. The objective is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high–dimensional chaotic and attractor dynamics. From introductory material on low-dimensional attractors and chaos, the text explores concepts including Poincaré’s 3-body problem, high-tech Josephson junctions, and more.

Smooth And Nonsmooth High Dimensional Chaos And The Melnikov Type Methods

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Author : Jan Awrejcewicz
language : en
Publisher: World Scientific
Release Date : 2007

Smooth And Nonsmooth High Dimensional Chaos And The Melnikov Type Methods 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 2007 with Mathematics categories.

This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurrence of both stick-slip and slip-slip chaotic orbits, research which is very rarely reported in the existing literature even on one-degree-of-freedom nonautonomous dynamics. This pioneering attempt to predict the occurrence of deterministic chaos of nonlinear dynamical systems will attract many researchers including applied mathematicians, physicists, as well as practicing engineers. Analytical formulas are explicitly formulated step-by-step, even attracting potential readers without a rigorous mathematical background. Sample Chapter(s). Chapter 1: A Role of the Melnikov-Type Methods in Applied Sciences (137 KB). Contents: A Role of the Melnikov-Type Methods in Applied Sciences; Classical Melnikov Approach; Homoclinic Chaos Criterion in a Rotated Froude Pendulum with Dry Friction; Smooth and Nonsmooth Dynamics of a Quasi-Autonomous Oscillator with Coulomb and Viscous Frictions; Application of the MelnikovOCoGruendler Method to Mechanical Systems; A Self-Excited Spherical Pendulum; A Double Self-excited Duffing-type Oscillator; A Triple Self-Excited Duffing-type Oscillator. Readership: Graduate students and researchers in dynamical systems.

Chaos Based Cryptography

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Author : Ljupco Kocarev
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-17

Chaos Based Cryptography written by Ljupco Kocarev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-17 with Computers categories.

Chaos-based cryptography, attracting many researchers in the past decade, is a research field across two fields, i.e., chaos (nonlinear dynamic system) and cryptography (computer and data security). It Chaos' properties, such as randomness and ergodicity, have been proved to be suitable for designing the means for data protection. The book gives a thorough description of chaos-based cryptography, which consists of chaos basic theory, chaos properties suitable for cryptography, chaos-based cryptographic techniques, and various secure applications based on chaos. Additionally, it covers both the latest research results and some open issues or hot topics. The book creates a collection of high-quality chapters contributed by leading experts in the related fields. It embraces a wide variety of aspects of the related subject areas and provide a scientifically and scholarly sound treatment of state-of-the-art techniques to students, researchers, academics, personnel of law enforcement and IT practitioners who are interested or involved in the study, research, use, design and development of techniques related to chaos-based cryptography.

Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors

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Author : Christos Volos
language : en
Publisher: MDPI
Release Date : 2019-05-03

Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors written by Christos Volos and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-03 with Technology & Engineering categories.

In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

A Gallery Of Chua Attractors

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Author : Eleonora Bilotta
language : en
Publisher: World Scientific
Release Date : 2008

A Gallery Of Chua Attractors written by Eleonora Bilotta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua''s oscillator (1986) OCo a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua''s circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.This book aims to bridge the gap. A gallery of nearly 900 OC chaotic attractorsOCO OCo some generated by Chua''s physical circuit, the majority through computer simulation of the circuit and its generalizations OCo are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.The contents have also appeared in the International Journal of Bifurcation and Chaos (2007)."

Gallery Of Chua Attractors A With Dvd Rom

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Author : Eleonora Bilotta
language : en
Publisher: World Scientific
Release Date : 2008-07-03

Gallery Of Chua Attractors A With Dvd Rom written by Eleonora Bilotta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-03 with Science categories.

Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua's oscillator (1986) — a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua's circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.This book aims to bridge the gap. A gallery of nearly 900 “chaotic attractors” — some generated by Chua's physical circuit, the majority through computer simulation of the circuit and its generalizations — are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.The contents have also appeared in the International Journal of Bifurcation and Chaos (2007).

Chaos And Society

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Author : A. Albert
language : en
Publisher: IOS Press
Release Date : 1995

Chaos And Society written by A. Albert and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Computers categories.

This publication reflects on the discussion on using chaos theory for the study of society. It explores the interface between chaos theory and the social sciences. A broad variety of fields (including Sociology, Anthropology, Economics, Political Science, Management, Philosophy and Cognitive Sciences) is represented in the book. The leading themes are: Conceptual and Methodological Issues, Social Connectionism and the Connectionist Mind, Social Institutions and Public Policy, and Social Simulations. The book includes the following topics: the relevance of the complexity-chaos paradigm for analyzing social systems, the usefulness of nonlinear dynamics for studying the formation and sustainability of social groups, the comparison between spontaneous social orders and spontaneous biological/natural orders, the building of Artificial Societies, and the contribution of the chaos paradigm to a better understanding and formulation of public policies.

Transient Chaos

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Author : Ying-Cheng Lai
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-26

Transient Chaos written by Ying-Cheng Lai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-26 with Mathematics categories.

The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.

Evolution Learning And Cognition

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Author : Y C Lee
language : en
Publisher: World Scientific
Release Date : 1989-01-01

Evolution Learning And Cognition written by Y C Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Computers categories.

This review volume represents the first attempt to provide a comprehensive overview of this exciting and rapidly evolving development. The book comprises specially commissioned articles by leading researchers in the areas of neural networks and connectionist systems, classifier systems, adaptive network systems, genetic algorithm, cellular automata, artificial immune systems, evolutionary genetics, cognitive science, optical computing, combinatorial optimization, and cybernetics.

Semiconductor Lasers

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Author : Junji Ohtsubo
language : en
Publisher: Springer
Release Date : 2007-10-24

Semiconductor Lasers written by Junji Ohtsubo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-24 with Science categories.

Prefaceforthesecondedition Chaos research in laser physics, especially in semiconductor lasers, has - veloped further even after completion of the ?rst edition of this book in the late summer of 2004, and it is still growing rapidly. For example, various forms of chaotic dynamics have been applied in newly developed semic- ductor lasers,such as in vertical-cavitysurface-emitting semiconductor lasers and broad-area semiconductor lasers. Chaotic dynamics plays an important role in these new lasers, even for their solitary oscillations, and control of the dynamics is currently an important issue for practical applications. - other signi?cant advance has been made in the area of chaotic optical secure communications. Chaotic secure communications using existing public opt- al communications links have been tested, and successful results have been obtained. In this second edition, I have ?lled in the gaps in the explanation of chaotic laser dynamics in the previous edition, and I have alsoadded s- eral important topics that have been developed recently. In particular, a new chapter on laser stabilizations has been added, and a number of misprints in the ?rst edition have been corrected. I believe this book will be of interest not only to researchers in the ?eld of laser chaos, but also to those working in nonlinear science and technology. Hamamatsu, Spring 2007 Junji Ohtsubo Preface Theaimofthisbookisthedescriptionofthestateoftheartofchaosresearch in semiconductor lasers and their applications, and the future perspective of this ?eld.