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 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

Produk Detail:

  • Author : Stefano Boccaletti
  • Publisher : Elsevier
  • Pages : 258 pages
  • ISBN : 9780080560427
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKThe Synchronized Dynamics of Complex Systems

The Synchronized Dynamics of Complex Systems

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

Dynamics of Nonlinear Time-Delay Systems

Dynamics of Nonlinear Time-Delay Systems
  • Author : Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
  • Publisher : Springer Science & Business Media
  • Release : 04 January 2011
GET THIS BOOKDynamics of Nonlinear Time-Delay Systems

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times

Synchronization in Complex Networks of Nonlinear Dynamical Systems

Synchronization in Complex Networks of Nonlinear Dynamical Systems
  • Author : Chai Wah Wu
  • Publisher : World Scientific
  • Release : 24 February 2021
GET THIS BOOKSynchronization in Complex Networks of Nonlinear Dynamical Systems

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

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 BOOKModelling, 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,

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 BOOKSelforganization 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

Complex Systems

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

Complex Systems and Networks

Complex Systems and Networks
  • Author : Jinhu Lü,Xinghuo Yu,Guanrong Chen,Wenwu Yu
  • Publisher : Springer
  • Release : 14 August 2015
GET THIS BOOKComplex Systems and Networks

This elementary book provides some state-of-the-art research results on broad disciplinary sciences on complex networks. It presents an in-depth study with detailed description of dynamics, controls and applications of complex networks. The contents of this book can be summarized as follows. First, the dynamics of complex networks, for example, the cluster dynamic analysis by using kernel spectral methods, community detection algorithms in bipartite networks, epidemiological modeling with demographics and epidemic spreading on multi-layer networks, are studied. Second, the controls 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 BOOKSynchronization

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

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space
  • Author : Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev
  • Publisher : Springer Nature
  • Release : 01 January 2020
GET THIS BOOKChaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space

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

Nonlinear Dynamics of Chaotic and Stochastic Systems

Nonlinear Dynamics of Chaotic and Stochastic Systems
  • Author : Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier
  • Publisher : Springer Science & Business Media
  • Release : 22 January 2003
GET THIS BOOKNonlinear Dynamics of Chaotic and Stochastic Systems

Contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters.

Geometrical Dynamics of Complex Systems

Geometrical Dynamics of Complex Systems
  • Author : Vladimir G. Ivancevic,Tijana T. Ivancevic
  • Publisher : Springer Science & Business Media
  • Release : 10 September 2006
GET THIS BOOKGeometrical 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

Integration of Fuzzy Logic and Chaos Theory

Integration of Fuzzy Logic and Chaos Theory
  • Author : Zhong Li,Wolfgang A. Halang
  • Publisher : Springer Science & Business Media
  • Release : 10 January 2006
GET THIS BOOKIntegration of Fuzzy Logic and Chaos Theory

The 1960s were perhaps a decade of confusion, when scientists faced d- culties in dealing with imprecise information and complex dynamics. A new set theory and then an in?nite-valued logic of Lot? A. Zadeh were so c- fusing that they were called fuzzy set theory and fuzzy logic; a deterministic system found by E. N. Lorenz to have random behaviours was so unusual that it was lately named a chaotic system. Just like irrational and imaginary numbers, negative energy,

Modeling of Complex Systems

Modeling of Complex Systems
  • Author : P. Garrido,Joaquín Marro
  • Publisher : American Institute of Physics
  • Release : 04 April 2003
GET THIS BOOKModeling of Complex Systems

Annotation The seminar is a small topical conference whose pedagogical focus is on young researchers. The 34 main lectures and other invited talks discuss such topics as exploring complex graphs by random walks, critical behavior of binary production reaction-diffusion systems, the plastic phase of driven vortex crystals, real space statistical properties of standard cosmological models, and basic concepts and physical implementations of quantum computation. In addition, 40 half- page abstracts summarize a selection of contributed papers. Those topics include the Yaldran-Khan catalyzed

Transport and Coherent Structures in Wall Turbulence

Transport and Coherent Structures in Wall Turbulence
  • Author : Sedat Tardu
  • Publisher : John Wiley & Sons
  • Release : 10 September 2014
GET THIS BOOKTransport and Coherent Structures in Wall Turbulence

Wall bounded turbulent flows are of major importance in industrial and environmental fluid mechanics. The structure of the wall turbulence is intrinsically related to the coherent structures that play a fundamental role in the transport process. The comprehension of their regeneration mechanism is indispensable for the development of efficient strategies in terms of drag control and near wall turbulence management. This book provides an up-to-date overview on the progress made in this specific area in recent years.