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Synchronization in Complex Networks of Nonlinear Dynamical Systems

Author : Chai Wah Wu

Publisher : World Scientific

Page : 168 pages

File Size : 45,55 MB

Release : 2007

Category : Mathematics

ISBN : 9812709746

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Book Description

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.



Chaotic Synchronization

Author : Erik Mosekilde

Publisher : World Scientific

Page : 444 pages

File Size : 28,62 MB

Release : 2002

Category : Science

ISBN : 9789810247898

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Book Description

A guide to the fascinating new concept of chaotic sychronization.



Emergence of Dynamical Order

Author : Susanna C. Manrubia

Publisher : World Scientific

Page : 362 pages

File Size : 17,49 MB

Release : 2004

Category : Mathematics

ISBN : 9789812562463

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Book Description

Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented.



Dynamical System Synchronization

Author : Albert C. J. Luo

Publisher : Springer Science & Business Media

Page : 245 pages

File Size : 25,35 MB

Release : 2013-03-22

Category : Technology & Engineering

ISBN : 1461450977

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Book Description

Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.



Synchronization of Integral and Fractional Order Chaotic Systems

Author : Rafael Martínez-Guerra

Publisher : Springer

Page : 264 pages

File Size : 16,70 MB

Release : 2015-03-17

Category : Science

ISBN : 331915284X

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Book Description

This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical interest.



Synchronization And Control Of Chaos: An Introduction For Scientists And Engineers

Author : Jesus M Gonzalez-miranda

Publisher : World Scientific

Page : 225 pages

File Size : 43,8 MB

Release : 2004-10-12

Category : Science

ISBN : 1783260556

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Book Description

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./a



Synchronization

Author : Stefano Boccaletti

Publisher : Cambridge University Press

Page : 267 pages

File Size : 13,85 MB

Release : 2018-03-29

Category : Mathematics

ISBN : 1107056268

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Book Description

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.



Recent Advances in Nonlinear Dynamics and Synchronization

Author : Kyandoghere Kyamakya

Publisher : Springer Science & Business Media

Page : 401 pages

File Size : 26,6 MB

Release : 2009-09-28

Category : Computers

ISBN : 3642042260

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Book Description

The selected contributions of this book shed light on a series of interesting aspects related to nonlinear dynamics and synchronization with the aim of demonstrating some of their interesting applications in a series of selected disciplines. This book contains thirteenth chapters which are organized around five main parts. The first part (containing five chapters) does focus on theoretical aspects and recent trends of nonlinear dynamics and synchronization. The second part (two chapters) presents some modeling and simulation issues through concrete application examples. The third part (two chapters) is focused on the application of nonlinear dynamics and synchronization in transportation. The fourth part (two chapters) presents some applications of synchronization in security-related system concepts. The fifth part (two chapters) considers further applications areas, i.e. pattern recognition and communication engineering.



Synchronization

Author : Arkady Pikovsky

Publisher : Cambridge University Press

Page : 435 pages

File Size : 39,75 MB

Release : 2001-10-18

Category : Mathematics

ISBN : 0521592852

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Book Description

The book describes synchronization phenomena using both classical results and more recent developments.



Synchronization in Oscillatory Networks

Author : Grigory V. Osipov

Publisher : Springer Science & Business Media

Page : 373 pages

File Size : 40,11 MB

Release : 2007-08-10

Category : Science

ISBN : 3540712690

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Book Description

This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few. The book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.