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Synchronization In Coupled Chaotic Circuits And Systems
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Book Synopsis Synchronization in Coupled Chaotic Circuits and Systems by : Chai Wah Wu
Download or read book Synchronization in Coupled Chaotic Circuits and Systems written by Chai Wah Wu and published by World Scientific. This book was released on 2002 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies synchronization of coupled chaotic circuits and systems, as well as its applications.
Book Synopsis Synchronization In Coupled Chaotic Circuits & Systems by : Chai Wah Wu
Download or read book Synchronization In Coupled Chaotic Circuits & Systems written by Chai Wah Wu and published by World Scientific. This book was released on 2002-01-30 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book studies synchronization of coupled chaotic circuits and systems, as well as its applications. It shows how one can use stability results in nonlinear control to derive synchronization criteria for coupled chaotic circuits and systems. It also discusses the use of Lyapunov exponents in deriving synchronization criteria. Both the case of two coupled systems and the case of arbitrarily coupled arrays of systems are considered. The book examines how synchronization properties in arrays of coupled systems are dependent on graph-theoretical properties of the underlying coupling topology. Finally, it studies some applications of synchronized chaotic circuits and systems, including spread spectrum and secure communications, coupled map lattices and graph coloring.
Book Synopsis Synchronization and Control of Chaos by : Jes£s Manuel Gonz lez-Miranda
Download or read book Synchronization and Control of Chaos written by Jes£s Manuel Gonz lez-Miranda and published by World Scientific. This book was released on 2004 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: - A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators
Book Synopsis Chaos In Circuits And Systems by : Guanrong Chen
Download or read book Chaos In Circuits And Systems written by Guanrong Chen and published by World Scientific. This book was released on 2002-06-03 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Dynamics in Circuits by : Thomas L. Carroll
Download or read book Nonlinear Dynamics in Circuits written by Thomas L. Carroll and published by World Scientific. This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the use of simple analog circuits to study nonlinear dynamics, chaos and stochastic resonance. The circuit experiments that are described are mostly easy and inexpensive to reproduce, and yet these experiments come from the forefront of nonlinear dynamics research. The individual chapters describe why analog circuits are so useful for studying nonlinear dynamics, and include theoretical as well as experimental results from some of the leading researchers in the field. Most of the articles contain some tutorial sections for the less experienced readers.The audience for this book includes researchers in nonlinear dynamics, chaos and statistical physics as well as electrical engineering, and graduate and advanced undergraduate students in these fields.
Book Synopsis Synchronization in Complex Networks of Nonlinear Dynamical Systems by : Chai Wah Wu
Download or read book Synchronization in Complex Networks of Nonlinear Dynamical Systems written by Chai Wah Wu and published by World Scientific. This book was released on 2007 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.
Book Synopsis Chaotic Synchronization by : Erik Mosekilde
Download or read book Chaotic Synchronization written by Erik Mosekilde and published by World Scientific. This book was released on 2002 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the fascinating new concept of chaotic sychronization.
Book Synopsis Synchronized Chaotic Oscillations by : Mikhael M. Sushchik
Download or read book Synchronized Chaotic Oscillations written by Mikhael M. Sushchik and published by . This book was released on 1996 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Synchronization in Networks of Nonlinear Circuits by : Mattia Frasca
Download or read book Synchronization in Networks of Nonlinear Circuits written by Mattia Frasca and published by Springer. This book was released on 2018-03-10 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses synchronization in networks of coupled systems. It illustrates the main aspects of the phenomenon through concise theoretical results and code, allowing readers to reproduce them and encouraging readers to pursue their own experimentation. The book begins by introducing the mathematical representation of nonlinear circuits and the code for their simulation. This is followed by a brief account of the concept of the complex network, which describes the main aspects of complex networks and the main model types, with a particular focus on the code used to study and reproduce the models. The focus then shifts to the process through which independent nonlinear circuits that follow different trajectories without coupling share some properties of their motion: synchronization. The authors present the main techniques for studying synchronization in complex networks, including the major measures, the stability properties and control techniques. The book then moves on to advanced topics in synchronization of complex networks by examining forms of synchronization in which not all the units share the same trajectory, namely chimera states, clustering synchronization, and relay and remote synchronization. Simple codes for experimentation with these topics and control methods are also provided. In closing, the book addresses the problem of synchronization in time-varying networks.
Book Synopsis Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption by : Banerjee, Santo
Download or read book Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption written by Banerjee, Santo and published by IGI Global. This book was released on 2010-07-31 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades, there has been numerous research studies conducted involving the synchronization of dynamical systems with several theoretical studies and laboratory experimentations demonstrating the pivotal role for this phenomenon in secure communications. Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption explores the combination of ordinary and time delayed systems and their applications in cryptographic encoding. This innovative publication presents a critical mass of the most sought after research, providing relevant theoretical frameworks and the latest empirical research findings in this area of study.
Book Synopsis Synchronization by : Stefano Boccaletti
Download or read book Synchronization written by Stefano Boccaletti and published by Cambridge University Press. This book was released on 2018-03-29 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to the basic concepts of nonlinear dynamics, the book explores the main synchronized states of coupled systems and describes the influence of noise and the occurrence of synchronous motion in multistable and spatially-extended systems. Finally, the authors discuss the underlying principles of collective dynamics on complex networks, providing an understanding of how networked systems are able to function as a whole in order to process information, perform coordinated tasks, and respond collectively to external perturbations. The demonstrations, numerous illustrations and application examples will help advanced graduate students and researchers gain an organic and complete understanding of the subject.
Book Synopsis Chaotic Synchronization: Applications To Living Systems by : Yuri L Maistrenko
Download or read book Chaotic Synchronization: Applications To Living Systems written by Yuri L Maistrenko and published by World Scientific. This book was released on 2002-03-07 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level.This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization.The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors.
Book Synopsis Time-Delayed Chaotic Dynamical Systems by : Tanmoy Banerjee
Download or read book Time-Delayed Chaotic Dynamical Systems written by Tanmoy Banerjee and published by Springer. This book was released on 2017-12-06 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes systematic design techniques for chaotic and hyperchaotic systems, the transition from one to the other, and their implementation in electronic circuits. It also discusses the collective phenomena manifested by these systems when connected by a physical coupling scheme. Readers will be introduced to collective behaviours, such as synchronization and oscillation suppression, and will learn how to implement nonlinear differential equations in electronic circuits. Further, the book shows how the choice of nonlinearity can lead to chaos and hyperchaos, even in a first-order time-delayed system. The occurrence of these phenomena, together with the efficiency of the design techniques described, is presented with theoretical studies, numerical characterization and experimental demonstrations with the corresponding electronic circuits, helping readers grasp the design aspects of dynamical systems as a whole in electronic circuits. The authors then discuss the usefulness of an active all-pass filter as the delay element, supported by their own experimental observations, as well as theoretical and numerical results. Including detailed analysis, as well as computations with suitable dedicated software packages, the book will be of interest to all academics and researchers who wish to expand their knowledge of the subtlety of nonlinear time-delayed systems. It also offers a valuable source of information for engineers, linking the design techniques of chaotic time-delayed systems with their collective phenomena.
Book Synopsis Chaos in Circuits and Systems by : Guanrong Chen
Download or read book Chaos in Circuits and Systems written by Guanrong Chen and published by World Scientific. This book was released on 2002 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cellular Neural Networks, Multi-scroll Chaos and Synchronization by : M?tak E. Yalin
Download or read book Cellular Neural Networks, Multi-scroll Chaos and Synchronization written by M?tak E. Yalin and published by World Scientific. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, HV synchronization, time-delayed systems and impulsive synchronization.
Book Synopsis Chaotic Synchronization in the System of Two Coupled Automatic Frequency Control Circuits with Application to Secure Communication by : Alexander A. Alexeyev
Download or read book Chaotic Synchronization in the System of Two Coupled Automatic Frequency Control Circuits with Application to Secure Communication written by Alexander A. Alexeyev and published by . This book was released on 1995 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Synchronized Dynamics of Complex Systems by : Stefano Boccaletti
Download or read book The Synchronized Dynamics of Complex Systems written by Stefano Boccaletti and published by Elsevier. This book was released on 2008-02-05 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origin of the word synchronization is a greek root, meaning "to share the common time". The original meaning of synchronization has been maintained up to now in the colloquial use of this word, as agreement or correlation in time of different processes. Historically, the analysis of synchronization phenomena in the evolution of dynamical systems has been a subject of active investigation since the earlier days of physics. Recently, the search for synchronization has moved to chaotic systems. In this latter framework, the appearance of collective (synchronized) dynamics is, in general, not trivial. Indeed, a dynamical system is called chaotic whenever its evolution sensitively depends on the initial conditions. The above said implies that two trajectories emerging from two different closeby initial conditions separate exponentially in the course of the time. As a result, chaotic systems intrinsically defy synchronization, because even two identical systems starting from slightly different initial conditions would evolve in time in a unsynchronized manner (the differences in the systems' states would grow exponentially). This is a relevant practical problem, insofar as experimental initial conditions are never known perfectly. The setting of some collective (synchronized) behavior in coupled chaotic systems has therefore a great importance and interest.The subject of the present book is to summarize the recent discoveries involving the study of synchronization in coupled chaotic systems.Not always the word synchronization is taken as having the same colloquial meaning, and one needs to specify what synchrony means in all particular contexts in which we will describe its emergence.The book describes the complete synchronization phenomenon, both for low and for high dimensional situations, and illustrates possible applications in the field of communicating with chaos.Furthermore, the book summarizes the concepts of phase synchronization, lag synchronization, imperfect phase synchronization, and generalized synchronization, describing a general transition scenario between a hierarchy of different types of synchronization for chaotic oscillators.These concepts are extended to the case of structurally different systems, of uncoupled systems subjected to a common external source, of space extended nonlinearly evolving fields, and of dynamical units networking via a complex wiring of connections, giving thus a summary of all possible situations that are encountered in real life and in technology. - Technical, but not specialistic language - About 100 illustrative Figures - Full overview on synchronization phenomena - Review of the main tools and techniques used in the field - Paradigmatic examples and experiments illustrating the basic concepts - Full Reference to the main publications existing in the literature on the subject
