The Synchronized Dynamics of Complex Systems

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  • Author : Stefano Boccaletti
  • Publisher : Elsevier
  • Pages : 258 pages
  • ISBN : 9780080560427
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>The Synchronized Dynamics of Complex Systems

Download or Read online The Synchronized Dynamics of Complex Systems full in PDF, ePub and kindle. this book written by Stefano Boccaletti and published by Elsevier which was released on 05 February 2008 with total page 258 pages. We cannot guarantee that The Synchronized Dynamics of Complex Systems book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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

The Synchronized Dynamics of Complex Systems

The Synchronized Dynamics of Complex Systems
  • Author : Stefano Boccaletti
  • Publisher : Elsevier
  • Release : 05 February 2008
GET THIS BOOK The Synchronized Dynamics of Complex Systems

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

Geometrical Dynamics of Complex Systems

Geometrical Dynamics of Complex Systems
  • Author : Vladimir G. Ivancevic,Tijana T. Ivancevic
  • Publisher : Taylor & Francis
  • Release : 18 January 2006
GET THIS BOOK Geometrical Dynamics of Complex Systems

Geometrical Dynamics of Complex Systems is a graduate-level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By'complexsystems', inthis book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. However, instead of dealing with the pop- 1 ular 'soft complexity philosophy', we rather propose a rigorous geometrical and topological

Complex Systems

Complex Systems
  • Author : Albert C. J. Luo,Jian-Qiao Sun
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2011
GET THIS BOOK Complex Systems

"Complex Systems: Fractionality, Time-delay and Synchronization" covers the most recent developments and advances in the theory and application of complex systems in these areas. Each chapter was written by scientists highly active in the field of complex systems. The book discusses a new treatise on fractional dynamics and control, as well as the new methods for differential delay systems and control. Lastly, a theoretical framework for the complexity and synchronization of complex system is presented. The book is intended for

Modelling Estimation and Control of Networked Complex Systems

Modelling  Estimation and Control of Networked Complex Systems
  • Author : Alessandro Chiuso,Luigi Fortuna,Mattia Frasca,Alessandro Rizzo,Luca Schenato,Sandro Zampieri
  • Publisher : Springer
  • Release : 13 October 2009
GET THIS BOOK Modelling Estimation and Control of Networked Complex Systems

The paradigm of complexity is pervading both science and engineering, le- ing to the emergence of novel approaches oriented at the development of a systemic view of the phenomena under study; the de?nition of powerful tools for modelling, estimation, and control; and the cross-fertilization of di?erent disciplines and approaches. One of the most promising paradigms to cope with complexity is that of networked systems. Complex, dynamical networks are powerful tools to model, estimate, and control many interesting phenomena,

Model Emergent Dynamics in Complex Systems

Model Emergent Dynamics in Complex Systems
  • Author : A. J. Roberts
  • Publisher : SIAM
  • Release : 05 December 2021
GET THIS BOOK Model Emergent Dynamics in Complex Systems

Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author?s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels

Emergence of Dynamical Order

Emergence of Dynamical Order
  • Author : Susanna C Manrubia,Alexander S Mikhailov,Damián H Zanette
  • Publisher : World Scientific
  • Release : 14 April 2004
GET THIS BOOK Emergence of Dynamical Order

' Synchronization processes bring about dynamical order and lead to spontaneous development of structural organization in complex systems of various origins, from chemical oscillators and biological cells to human societies and the brain. This book provides a review and a detailed theoretical analysis of synchronization phenomena in complex systems with different architectures, composed of elements with periodic or chaotic individual dynamics. Special attention is paid to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses. Contents:Synchronization and

Emergence of Dynamical Order

Emergence of Dynamical Order
  • Author : Susanna C. Manrubia,Alexander S. Mikhailov,Damian Zanette
  • Publisher : World Scientific
  • Release : 05 December 2021
GET THIS BOOK Emergence of Dynamical Order

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

Dynamical System Synchronization

Dynamical System Synchronization
  • Author : Albert C. J. Luo
  • Publisher : Springer Science & Business Media
  • Release : 22 March 2013
GET THIS BOOK Dynamical System Synchronization

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.

Selforganization in Complex Systems The Past Present and Future of Synergetics

Selforganization in Complex Systems  The Past  Present  and Future of Synergetics
  • Author : Günter Wunner,Axel Pelster
  • Publisher : Springer
  • Release : 26 December 2015
GET THIS BOOK Selforganization in Complex Systems The Past Present and Future of Synergetics

This proceedings volume contains talks and poster presentations from the International Symposium "Self-Organization in Complex Systems: The Past, Present, and Future of Synergetics", which took place at Hanse-Wissenschaftskolleg, an Institute of Advanced Studies, in Delmenhorst, Germany, during the period November 13 - 16, 2012. The Symposium was organized in honour of Hermann Haken, who celebrated his 85th birthday in 2012. With his fundamental theory of Synergetics he had laid the mathematical-physical basis for describing and analyzing self-organization processes in a diversity of fields of

Synchronization

Synchronization
  • Author : Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann
  • Publisher : Cambridge University Press
  • Release : 29 March 2018
GET THIS BOOK Synchronization

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

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems
  • Author : Elhadj Zeraoulia,Julien C. Sprott
  • Publisher : World Scientific
  • Release : 05 December 2021
GET THIS BOOK Frontiers in the Study of Chaotic Dynamical Systems with Open Problems

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 Dynamics Materials Theory and Experiments

Nonlinear Dynamics  Materials  Theory and Experiments
  • Author : Mustapha Tlidi,Marcel. G. Clerc
  • Publisher : Springer
  • Release : 14 November 2015
GET THIS BOOK Nonlinear Dynamics Materials Theory and Experiments

This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids and magnetic are considered. The aim of this book is to gather specialists from these various fields of research to promote cross-fertilization and transfer of knowledge between these active research areas. In particular, nonlinear optics and laser physics constitute an important part in this issue due

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self excited Attractors

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self excited Attractors
  • Author : Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal
  • Publisher : MDPI
  • Release : 03 May 2019
GET THIS BOOK Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self excited Attractors

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

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Essentials of Nonlinear Circuit Dynamics with MATLAB   and Laboratory Experiments
  • Author : Arturo Buscarino,Luigi Fortuna,Mattia Frasca
  • Publisher : CRC Press
  • Release : 07 April 2017
GET THIS BOOK Essentials of Nonlinear Circuit Dynamics with MATLAB and Laboratory Experiments

This book deals with nonlinear dynamics of electronic circuits, which could be used in robot control, secure communications, sensors and synchronized networks. The genesis of the content is related to a course on complex adaptive systems that has been held at the University of Catania since 2005. The efforts are devoted in order to emulate with nonlinear electronic circuits nonlinear dynamics. Step-by-step methods show the essential concepts of complex systems by using the Varela diagrams and accompanying MATLAB® exercises to reinforce