This book is devoted to the phenomenon of synchronization and its
application for determining the values of Lyapunov exponents. In
recent years, the idea of synchronization has become an object of
great interest in many areas of science, e.g., biology and
communication or laser physics. Over the last decade, a number of
new types of synchronization have been identified and some
interesting new ideas concerning the synchronization have also
appeared.
This book presents the complete synchronization problem rather
than just results from the research. The problem is demonstrated in
relation to a kind of coupling applied between dynamical systems,
whereby a unique classification of possible couplings is
introduced. Another novel feature is the connection presented
between synchronization and the problem of determining the Lyapunov
exponents, especially for non-differentiable systems. A detailed
proposal of such an estimation method and examples of its
application are included.
General
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