Chaos Synchronization And Structures In Dynamics Of Systems With Cylindrical Phase Space
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Chaos Synchronization And Structures In Dynamics Of Systems With Cylindrical Phase Space
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Author : Nikolai Verichev
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Chaos Synchronization And Structures In Dynamics Of Systems With Cylindrical Phase Space written by Nikolai Verichev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Science categories.
This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamics of structures in various models of coupled rotators. Rotators and their systems are defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have a wider “range” of motion: There are vibrational and rotational types for cyclic variables, as well as their combinations (rotational-vibrational) if the number of cyclic variables is more than one. The specificity of rotator phase space poses serious challenges in terms of selecting methods for studying the dynamics of related systems. The book chiefly focuses on developing a modified form of the method of averaging, which can be used to study the dynamics of rotators. In general, the book uses the “language” of the qualitative theory of differential equations, point mappings, and the theory of bifurcations, which helps authors to obtain new results on dynamical chaos in systems with few degrees of freedom. In addition, a special section is devoted to the study and classification of dynamic structures that can occur in systems with a large number of interconnected objects, i.e. in lattices of rotators and/or oscillators. Given its scope and format, the book can be used both in lectures and courses on nonlinear dynamics, and in specialized courses on the development and operation of relevant systems that can be represented by a large number of various practical systems: interconnected grids of various mechanical systems, various types of networks including not only mechanical but also biological systems, etc.
Nonlinear Wave Dynamics Of Materials And Structures
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2020-04-22
Nonlinear Wave Dynamics Of Materials And Structures written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Technology & Engineering categories.
This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.
Further Insights Into Oscillation Theory
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Author : Nikolai Verichev
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2021-07-27
Further Insights Into Oscillation Theory written by Nikolai Verichev and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-27 with Technology & Engineering categories.
The book is written for students of universities and postgraduate students specializing in the field of nonlinear dynamics, as well as specialists in various fields of mechanical engineering. It is devoted to the development of original methods, and outlines the results of analytical studies of dynamical chaos, synchronization, and dynamic structures in lattices of coupled rotators. It presents its findings within the context of the phase space of models and by involving methods of the qualitative theory of differential equations, the theory of bifurcations, and qualitative numerical methods.
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
Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems
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Author : Elhadj Zeraoulia
language : en
Publisher: World Scientific
Release Date : 2011
Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems written by Elhadj Zeraoulia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
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.
Coupled Phase Locked Loops Stability Synchronization Chaos And Communication With Chaos
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Author : Matrosov Valery V
language : en
Publisher: World Scientific
Release Date : 2018-08-29
Coupled Phase Locked Loops Stability Synchronization Chaos And Communication With Chaos written by Matrosov Valery V and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-29 with Technology & Engineering categories.
Modern technological, biological, and socioeconomic systems are extremely complex. The study of such systems largely relies on the concepts of competition and cooperation (synchronization). The main approaches to the study of nonlinear dynamics of complex systems are now associated with models of collective dynamics of networks and ensembles, formed by interacting dynamical elements.Unfortunately, the applicability of analytical and qualitative methods of nonlinear dynamics to such complex systems is severely restricted due to the high dimension of phase space. Therefore, studying the simplest models of networks, which are ensembles with a small number of elements, becomes of particular interest. Such models allow to make use of the entire spectrum of analytical, qualitative, and numerical methods of nonlinear dynamics. This book is devoted to the investigation of a kind of such systems, namely small ensembles of coupled, phase-controlled oscillators. Both traditional issues, like synchronization, that are relevant for applications in radio-communications, radio-location, energy, etc., and nontraditional issues of excitation of chaotic oscillations and their possible application in advanced communication systems are addressed.
Nonlinear Dynamics And Chaos Advances And Perspectives
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Author : Marco Thiel
language : en
Publisher: Springer
Release Date : 2010-05-17
Nonlinear Dynamics And Chaos Advances And Perspectives written by Marco Thiel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-17 with Science categories.
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.
Stability Structures And Chaos In Nonlinear Synchronization Networks
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Author : V S Afraimovich
language : en
Publisher: World Scientific
Release Date : 1995-01-16
Stability Structures And Chaos In Nonlinear Synchronization Networks written by V S Afraimovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-16 with Science categories.
The understanding of fields and media using discrete lattice models has been greatly aided by the advent of powerful computers. This has also led to the formulation of new and inspiring problems associated with the analysis of homogeneous discrete networks of interacting dynamical elements. This book investigates the nonlinear dynamics of peculiar discrete media made up of interconnected phase synchronization systems. After an introduction which sets out the nature of the problem, the book goes on to consider dynamic processes in chain and lattice networks, utilising both continuous and discrete synchronization systems as component elements. Computational studies aimed at oscillatory-wave phenomena will make the book valuable for specialists in radio engineering, biological excitable media and other branches of physics and biology as well as specialists in applied mathematics and nonlinear sciences. Contents:Basic Models, Dynamics of a Chain of Phase Lock-Loop Systems with Unidirectional CouplingEffect of Inertia of Elements on the Dynamics of a Flow ChainChains with Mutual CouplingChains with Coupling through Phase Mismatching SignalsNonlinear Dynamics of LatticesAnalysis of Stationary Synchronization RegimesSome Remarks on Other Kinds of Chains of Synchronization SystemsStability and Chaos in the Chains of Discrete Phase-Lock LoopsDynamics of a Ring Chain of Discrete SystemsOrder and Chaos in the Discrete Model of an Active MediumResults and Problems Readership: Nonlinear scientists and engineers. keywords:
Dynamical Chaos
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Author : Vadim Semenovich Anishchenko
language : en
Publisher: World Scientific
Release Date : 1995
Dynamical Chaos written by Vadim Semenovich Anishchenko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.
Space Time Chaos Characterization Control And Synchronization
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Author : Stefano Boccaletti
language : en
Publisher: World Scientific
Release Date : 2001-03-09
Space Time Chaos Characterization Control And Synchronization written by Stefano Boccaletti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-09 with Science categories.
This book provides a comprehensive overview of the topics related to characterization, control and synchronization of complex spatiotemporal phenomena, from both a theoretical and an experimental point of view. It describes applications of these processes in applied mathematics, signal analysis, nonlinear optics, fluid dynamics, chemical reactions, electronic circuits, etc.