 |
|
| THE SYNCHRONIZED DYNAMICS OF COMPLEX SYSTEMS, 6
| |
| | |
|
|
To order this title, and for more information, click here
By
Stefano Boccaletti, CNR-Istituto dei Sistemi Complessi, Sesto Fiorentino, Florence, Italy
Albert Luo, Ph.D., Southern Illinois University, Department of Mechanical and Industrial Engineering, Edwardsville, USA
George Zaslavsky, New York University, Courant Institute of Mathematical Sciences and Department of Physics, USA
Included in series
Monograph Series on Nonlinear Science and Complexity,
Description
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.
Audience
Senior graduate students, Established researchers in the area
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
| Bibliographic details |
Hardbound, 258 pages, publication date: FEB-2008
ISBN-13: 978-0-444-52743-1
ISBN-10: 0-444-52743-5
Imprint: ELSEVIER
|
| Price and Ordering |
Price:
GBP 108.99
USD 180
EUR 128.95
|  |
Books and book related electronic products are priced in US dollars (USD), euro (EUR), and Great Britain Pounds (GBP). USD prices apply to the Americas and Asia Pacific. EUR prices apply in Europe and the Middle East. GBP prices apply to the UK and all other countries.
|
See also information about conditions of sale & ordering procedures, and links to our regional sales offices.
|
050/507
Last update: 5 Sep 2009
|
|
| |
| | |
|
|
| |
Home | Elsevier Sites | Privacy Policy | Terms and Conditions | Feedback | Site Map | A Reed Elsevier Company