Chaotic Transitions in Deterministic and Stochastic Dynamical Systems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025


Chaotic Transitions in Deterministic and Stochastic Dynamical Systems

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Simiu, Emil 作者
譯者
2009-6 出版日期
244 頁數
$ 47.46 價格
叢書系列
9780691144344 圖書編碼

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Chaotic Transitions in Deterministic and Stochastic Dynamical Systems 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2025

Chaotic Transitions in Deterministic and Stochastic Dynamical Systems 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2025

Chaotic Transitions in Deterministic and Stochastic Dynamical Systems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025



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Chaotic Transitions in Deterministic and Stochastic Dynamical Systems 在線電子書 著者簡介


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Chaotic Transitions in Deterministic and Stochastic Dynamical Systems 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Chaotic Transitions in Deterministic and Stochastic Dynamical Systems 在線電子書 圖書描述

The classical Melnikov method provides information on the behavior of deterministic planar systems that may exhibit transitions, i.e. escapes from and captures into preferred regions of phase space. This book develops a unified treatment of deterministic and stochastic systems that extends the applicability of the Melnikov method to physically realizable stochastic planar systems with additive, state-dependent, white, colored, or dichotomous noise. The extended Melnikov method yields the novel result that motions with transitions are chaotic regardless of whether the excitation is deterministic or stochastic. It explains the role in the occurrence of transitions of the characteristics of the system and its deterministic or stochastic excitation, and is a powerful modeling and identification tool. The book is designed primarily for readers interested in applications. The level of preparation required corresponds to the equivalent of a first-year graduate course in applied mathematics. No previous exposure to dynamical systems theory or the theory of stochastic processes is required. The theoretical prerequisites and developments are presented in the first part of the book. The second part of the book is devoted to applications, ranging from physics to mechanical engineering, naval architecture, oceanography, nonlinear control, stochastic resonance, and neurophysiology.

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