The Synchronized Dynamics of Complex Systems

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book The Synchronized Dynamics of Complex Systems by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D., Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D. ISBN: 9780080560427
Publisher: Elsevier Science Publication: February 5, 2008
Imprint: Elsevier Science Language: English
Author: Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
ISBN: 9780080560427
Publisher: Elsevier Science
Publication: February 5, 2008
Imprint: Elsevier Science
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

More books from Elsevier Science

Cover of the book Biofuels by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Handbook of Synthetic Organic Chemistry by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Biomaterials for Bone Regeneration by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Bioactive Natural Products (Part C) by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Brain-Based Learning and Education by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Metal Oxide-Based Thin Film Structures by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Virtualization for Security by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Introductory Experiments on Biomolecules and their Interactions by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Advances in Organometallic Chemistry by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Advances in Clinical Chemistry by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Made in Africa by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Annual Reports on NMR Spectroscopy by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Bioactive Food as Dietary Interventions for Arthritis and Related Inflammatory Diseases by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Neurolinguistic Aspects of the Japanese Writing System by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
Cover of the book Genetics of Epilepsy by Stefano Boccaletti, George Zaslavsky, Albert C.J. Luo, Ph.D.
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy