The Synchronized Dynamics of Complex Systems

Written By Stefano Boccaletti
The Synchronized Dynamics of Complex Systems
  • Publsiher : Elsevier
  • Release : 05 February 2008
  • ISBN : 9780080560427
  • Pages : 258 pages
  • Rating : /5 from reviews
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Download or read book entitled The Synchronized Dynamics of Complex Systems by author: Stefano Boccaletti which was release on 05 February 2008 and published by Elsevier with total page 258 pages . This book available in PDF, EPUB and Kindle Format. 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 Date : 2008-02-05
  • Total pages : 258
  • ISBN : 9780080560427
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Summary : 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 ...

Geometrical Dynamics of Complex Systems

Geometrical Dynamics of Complex Systems
  • Author : Vladimir G. Ivancevic,Tijana T. Ivancevic
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-09-10
  • Total pages : 824
  • ISBN : 9780080560427
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Summary : 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 ...

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Complex Systems and Networks
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  • Publisher : Springer
  • Release Date : 2015-08-14
  • Total pages : 482
  • ISBN : 9780080560427
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Summary : 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 ...

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Complex Systems
  • Author : Albert C. J. Luo,Jian-Qiao Sun
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-12-01
  • Total pages : 275
  • ISBN : 9780080560427
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Summary : "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 ...

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems
  • Author : Elbert E. N. Macau
  • Publisher : Springer
  • Release Date : 2018-06-14
  • Total pages : 228
  • ISBN : 9780080560427
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Summary : This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in ...

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Emergence of Dynamical Order
  • Author : Susanna C. Manrubia,Alexander S. Mikhailov,Damian Zanette
  • Publisher : World Scientific
  • Release Date : 2004
  • Total pages : 348
  • ISBN : 9780080560427
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Summary : 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 ...

Synchronization in Complex Networks of Nonlinear Dynamical Systems

Synchronization in Complex Networks of Nonlinear Dynamical Systems
  • Author : Chai Wah Wu
  • Publisher : World Scientific
  • Release Date : 2007
  • Total pages : 168
  • ISBN : 9780080560427
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Summary : 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 ...

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 Date : 2009-10-13
  • Total pages : 238
  • ISBN : 9780080560427
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Summary : 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 ...

Chaotic Fractional and Complex Dynamics New Insights and Perspectives

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  • Author : Mark Edelman,Elbert E. N. Macau,Miguel A. F. Sanjuan
  • Publisher : Springer
  • Release Date : 2017-11-17
  • Total pages : 315
  • ISBN : 9780080560427
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Summary : The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research ...

Nonlinear and Adaptive Control of Complex Systems

Nonlinear and Adaptive Control of Complex Systems
  • Author : A.L. Fradkov,I.V. Miroshnik,V.O. Nikiforov
  • Publisher : Springer Science & Business Media
  • Release Date : 1999-07-31
  • Total pages : 510
  • ISBN : 9780080560427
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Summary : This volume presents a theoretical framework and control methodology for a class of complex dynamical systems characterised by high state space dimension, multiple inputs and outputs, significant nonlinearity, parametric uncertainty, and unmodeled dynamics. A unique feature of the authors' approach is the combination of rigorous concepts and methods of nonlinear ...

Synchronization

Synchronization
  • Author : Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann
  • Publisher : Cambridge University Press
  • Release Date : 2018-03-29
  • Total pages : 255
  • ISBN : 9780080560427
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Summary : A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications....

Slow Dynamics in Complex Systems

Slow Dynamics in Complex Systems
  • Author : American Institute of Physics
  • Publisher : American Institute of Physics
  • Release Date : 2004-06-02
  • Total pages : 829
  • ISBN : 9780080560427
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Summary : This book gives up-to-date information on the liquid-glass transition in various disciplines, such as physics, chemistry, biology, engineering, polymer science, and computer science. The book contains review articles by leading scientists and contributed papers by authors in the forefront of research. The systems studied covered almost all states of matter ...

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  • Author : Zoltán Gingl,Society of Photo-optical Instrumentation Engineers
  • Publisher : Society of Photo Optical
  • Release Date : 2004
  • Total pages : 626
  • ISBN : 9780080560427
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Summary : Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references ...

Handbook of Research on Modeling Analysis and Control of Complex Systems

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  • Author : Ahmad Taher Azar,Nashwa Ahmad Kamal
  • Publisher : Engineering Science Reference
  • Release Date : 2020-09
  • Total pages : 212
  • ISBN : 9780080560427
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Summary : "This book is mainly focused on the recent achievements and applications in the field of control and analysis for complex systems with a special emphasis on how to solve various control design and/or observer design problems for nonlinear systems, interconnected systems, and singular systems and involves modeling, non-ideal systems ...

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Chaos and Complex Systems
  • Author : Stavros G. Stavrinides,Mehmet Ozer
  • Publisher : Springer Nature
  • Release Date : 2020-02-19
  • Total pages : 165
  • ISBN : 9780080560427
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Summary : This book presents the proceedings of the “5th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (CCS).” All Symposia in the series bring together scientists, engineers, economists and social scientists, creating a vivid forum for discussions on the latest insights and findings obtained in the areas of complexity, nonlinear ...