Stability, Structures And Chaos In Nonlinear Synchronization Networks

Stability, Structures And Chaos In Nonlinear Synchronization Networks
Author: Valentin S Afraimovich
Publisher: World Scientific
Total Pages: 260
Release: 1995-01-16
Genre: Science
ISBN: 9814501891

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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.

Stability, Structures and Chaos in Nonlinear Synchronization Networks

Stability, Structures and Chaos in Nonlinear Synchronization Networks
Author: Valentin Senderovich Afra?movich
Publisher: World Scientific
Total Pages: 64
Release: 1994
Genre: Science
ISBN: 9789810218225

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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.

Cellular Neural Networks, Multi-scroll Chaos and Synchronization

Cellular Neural Networks, Multi-scroll Chaos and Synchronization
Author: M?tak E. Yal‡in
Publisher: World Scientific
Total Pages: 248
Release: 2005
Genre: Computers
ISBN: 9812561617

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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.

Synchronization and Control of Chaos

Synchronization and Control of Chaos
Author: Jes£s Manuel Gonz lez-Miranda
Publisher: World Scientific
Total Pages: 225
Release: 2004
Genre: Science
ISBN: 1860944884

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- A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators

Synchronization in Complex Networks of Nonlinear Dynamical Systems

Synchronization in Complex Networks of Nonlinear Dynamical Systems
Author: Chai Wah Wu
Publisher: World Scientific
Total Pages: 168
Release: 2007
Genre: Mathematics
ISBN: 9812709746

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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.

Chaos In Nonlinear Oscillators: Controlling And Synchronization

Chaos In Nonlinear Oscillators: Controlling And Synchronization
Author: M Lakshmanan
Publisher: World Scientific
Total Pages: 339
Release: 1996-06-28
Genre: Science
ISBN: 9814500917

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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.

Fractional Order Control and Synchronization of Chaotic Systems

Fractional Order Control and Synchronization of Chaotic Systems
Author: Ahmad Taher Azar
Publisher: Springer
Total Pages: 873
Release: 2017-02-27
Genre: Technology & Engineering
ISBN: 3319502492

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The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc. In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.

Chaotic Synchronization

Chaotic Synchronization
Author: Erik Mosekilde
Publisher: World Scientific
Total Pages: 444
Release: 2002
Genre: Science
ISBN: 9789810247898

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A guide to the fascinating new concept of chaotic sychronization.