| Description |
1 online resource (xiii, 243 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Monograph series on nonlinear science and complexity ; v. 6 |
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Monograph series on nonlinear science and complexity ; v. 6.
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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 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. |
| Contents |
Chapter 1 Preface -- Chapter 2 Introduction -- Chapter 3 Identical Systems -- Chapter 4 Non identical Systems -- Chapter 5 Structurally non equivalent Systems -- Chapter 6 Effects of noise -- Chapter 7 Distributed and Extended Systems -- Chapter 8 Complex Networks. |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Subject |
Nonlinear systems.
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Synchronization.
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Systèmes non linéaires.
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Synchronisation.
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Nonlinear systems
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Synchronization
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| Other Form: |
Print version: Boccaletti, S. (Stefano). Synchronized motion of complex systems. Amsterdam ; London : Elsevier, 2008 9780444527431 0444527435 (OCoLC)176824433 |
| ISBN |
9780444527431 |
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0444527435 |
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0080560423 (electronic bk.) |
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9780080560427 (electronic bk.) |
| Standard No. |
AU@ 000047156368 |
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CHDSB 005985862 |
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DEBBG BV039831468 |
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DEBBG BV042307187 |
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DEBSZ 305936468 |
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DEBSZ 48235805X |
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NZ1 12541719 |
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NZ1 15190284 |
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