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Nonlinear Dynamics of Chaotic and Stochastic Systems - Vadim S. Anishchenko, Vladimir Astakhov, Alexander Neiman, Tatjana Vadivasova, Lutz Schimansky-Geier

Nonlinear Dynamics of Chaotic and Stochastic Systems

Tutorial and Modern Developments
Buch | Hardcover
XIII, 446 Seiten
2007 | 2nd ed. 2007
Springer Berlin (Verlag)
978-3-540-38164-8 (ISBN)
CHF 134,70 inkl. MwSt
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 kineticequations. 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.

Tutorial.- Dynamical Systems.- Fluctuations in Dynamical Systems.- Synchronization of Periodic Systems.- Dynamical Chaos.- Routes to Chaos.- Statistical Properties of Dynamical Chaos.- Synchronization of Chaos.- Effects of Synchronization in Extended Self-Sustained Oscillatory Systems.- Synchronization in Living Systems.- Controlling Chaos.- Reconstruction of Dynamical Systems.- Stochastic Dynamics.- Stochastic Resonance.- Synchronization of Stochastic Systems.- The Beneficial Role of Noise in Excitable Systems.- Noise Induced Transport.

Erscheint lt. Verlag 9.2.2007
Reihe/Serie Springer Series in Synergetics
Zusatzinfo XIII, 446 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 800 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
Schlagworte Chaos • Chaostheorie • Dynamical Systems • Nichtlineare Dynamik • Nonlinear Dynamics • resonance • Stochastic Dynamics • Stochastik
ISBN-10 3-540-38164-3 / 3540381643
ISBN-13 978-3-540-38164-8 / 9783540381648
Zustand Neuware
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