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Chaotic Transitions in Deterministic and Stochastic Dynamical Systems

Applications of Melnikov Processes in Engineering, Physics, and Neuroscience

Autor: Emil Simiu

Jazyk:

Väzba: Brožovaná

Vydavateľ: Princeton University Press

Dostupnosť: Skladom u dodávateľa

Odosielame za 8-11 dní

56.38 €

The classical Melnikov method provides information on the behavior of deterministic planar systems t...

Informácie o knihe

Autor

Emil Simiu

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2009

Stránok

240

EAN

9780691144344

ISBN

0691144346

Enbook ID

04641683

Vydavateľ

Princeton University Press

Hmotnosť

372

Rozmery

163 x 234 x 14

Kompletný popis

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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Chaotic Transitions in Deterministic and Stochastic Dynamical Systems

Applications of Melnikov Processes in Engineering, Physics, and Neuroscience

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