By Vladimir Astakhov, Alexander Neiman
We current a higher and enlarged model of our publication Nonlinear - namics of Chaotic and Stochastic platforms released via Springer in 2002. primarily, the recent variation of the publication corresponds to its ?rst model. whereas preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints spotted in a few formulation. along with, 3 new sections were additional to bankruptcy 2. they're “Statistical homes of Dynamical Chaos,” “E?ects of Synchronization in prolonged Self-Sustained Oscillatory Systems,” and “Synchronization in dwelling Systems.” The sections indicated re?ect the main attention-grabbing effects received through the authors after book of the ?rst version. we are hoping that the recent version of the booklet could be of serious curiosity for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning examine within the ?elds of nonlinear oscillation and wave concept, dynamical chaos, synchronization, and stochastic technique thought. 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 1st version Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic structures. substantial attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. at the one hand, there exists a wealthy literature of good books on n- linear dynamics and chaos; nonetheless, there are lots of brilliant monographs and textbooks at the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics in line with the deterministic evolution equations with the procedure of statistical physics in line with stochastic or kinetic equations. one in every of our major goals is to teach the $64000 function of noise within the association and houses of dynamic regimes of nonlinear dissipative platforms.
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