The Synchronized Dynamics of Complex Systems

Samenvatting

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

Productspecificaties

Auteur
Stefano Boccaletti George Zaslavsky
Co-auteur
Albert C. J. Luo Stefano Boccaletti George Zaslavsky Albert C.J. Luo, Ph.D.
Redactie
Albert C. J. Luo
George M. Zaslavsky
George Zaslavsky
Overige betrokkenen
Albert C. J. Luo George M. Zaslavsky
Soort
Met illustraties
Taal
Engels
Afmetingen
17x225x149 mm
Gewicht
550,00 gram
Verschijningsdatum
februari 2008
ISBN10
0444527435
ISBN13
9780444527431

Je vindt dit boek in

Categorieën
Verschijningsvorm
Hardcover
Uitvoering
Boek
Verschijningsjaar
2008
Studie of Management
Studieboek

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