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We present an improved and enlarged version of our book Nonlinear -
namics of Chaotic and Stochastic Systems published by Springer in
2002. Basically, the new edition of the book corresponds to its
?rst version. While
preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso
corrected the misprints noticed in some formulas. Besides, three
new sections have been added to Chapter 2. They are "Statistical
Properties of Dynamical Chaos," "E?ects of Synchronization in
Extended Self-Sustained Oscillatory Systems," and "Synchronization
in Living Systems." The sections indicated re?ect the most
interesting results obtained by the authors after publication of
the ?rst edition. We hope that the new edition of the book will be
of great interest for a
widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning
research in the ?elds of nonlinear oscillation and wave theory,
dynamical chaos, synchronization, and stochastic process theory.
Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B.
Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface
to the First Edition
Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults
on nonlinear dynamics of deterministic and stochastic systems.
Considerable
attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems
with noise-induced order. On the one hand, there exists a rich
literature of excellent books on n- linear dynamics and chaos; on
the other hand, there are many marvelous monographs and textbooks
on the statistical physics of far-from-equilibrium
andstochasticprocesses.Thisbookisanattempttocombinetheapproachof
nonlinear dynamics based on the deterministic evolution equations
with the approach of statistical physics based on stochastic or
kinetic equations. One of our main aims is to show the important
role of noise in the organization and properties of dynamic regimes
of nonlinear dissipative systems.
We present an improved and enlarged version of our book Nonlinear -
namics of Chaotic and Stochastic Systems published by Springer in
2002. Basically, the new edition of the book corresponds to its
?rst version. While
preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso
corrected the misprints noticed in some formulas. Besides, three
new sections have been added to Chapter 2. They are "Statistical
Properties of Dynamical Chaos," "E?ects of Synchronization in
Extended Self-Sustained Oscillatory Systems," and "Synchronization
in Living Systems." The sections indicated re?ect the most
interesting results obtained by the authors after publication of
the ?rst edition. We hope that the new edition of the book will be
of great interest for a
widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning
research in the ?elds of nonlinear oscillation and wave theory,
dynamical chaos, synchronization, and stochastic process theory.
Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B.
Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface
to the First Edition
Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults
on nonlinear dynamics of deterministic and stochastic systems.
Considerable
attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems
with noise-induced order. On the one hand, there exists a rich
literature of excellent books on n- linear dynamics and chaos; on
the other hand, there are many marvelous monographs and textbooks
on the statistical physics of far-from-equilibrium
andstochasticprocesses.Thisbookisanattempttocombinetheapproachof
nonlinear dynamics based on the deterministic evolution equations
with the approach of statistical physics based on stochastic or
kinetic equations. One of our main aims is to show the important
role of noise in the organization and properties of dynamic regimes
of nonlinear dissipative systems.
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