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The Synchronized Dynamics of Complex Systems, Volume 6 (Hardcover)
Loot Price: R5,233
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The Synchronized Dynamics of Complex Systems, Volume 6 (Hardcover)
Series: Monograph Series on Nonlinear Science and Complexity
Expected to ship within 10 - 15 working days
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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"
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