The Synchronized Dynamics of Complex Systems

The origin of the word synchronization is a Greek root, meaning "to share the common time". The original meaning of synchronization has been maintained in the colloquial. Historically, the analysis of the synchronization of phenomena in the evolution of physics.

Recently, the search for synchronization has moved to chaotic systems. In this junior framework, the appearance of collective (synchronized) dynamics is, in general, not trivial. Indeed, a dynamical system is called chaotic. The above said implies that two trajectories emergent in the course of the time. As a result, chaotic systems, intrinsically defy synchronization, would even be exponentially unreliable. This is a relevant practical problem, as well as experimental conditions are never known perfectly. The setting of some collective (synchronized) behavior in coupled chaotic systems.

The subject of the present book in the chaotic systems.
Not always the word synchronization is taken into account, which is the same colloquial meaning, and what needs to be determined.

The book describing the complete synchronization phenomenon, both for low and for high level situations.
Furthermore, the book summarizes the concepts of phase synchronization, lag synchronization, imperfect phase synchronization, and generalized synchronization, describing a general transition between different types of synchronization for chaotic oscillators.

These concepts are extended to the case of different, non-existent systems, which is a common external source of space. 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 literature on the subject

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