Coverart for item
The Resource Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience, Emil Simiu, (electronic resource)

Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience, Emil Simiu, (electronic resource)

Label
Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience
Title
Chaotic transitions in deterministic and stochastic dynamical systems
Title remainder
applications of Melnikov processes in engineering, physics, and neuroscience
Statement of responsibility
Emil Simiu
Creator
Subject
Language
eng
Summary
Annotation:
Member of
Cataloging source
CaPaEBR
http://library.link/vocab/creatorName
Simiu, Emil
Dewey number
515/.352
LC call number
QA614.8
LC item number
.S55 2002eb
Series statement
Princeton Series in Applied Mathematics
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Chaotic behavior in systems
  • Stochastic systems
Summary expansion
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
Label
Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience, Emil Simiu, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Control code
OCM1bookssj0001385064
Dimensions
unknown
Isbn
9780691144344
Note
Electronic reproduction. Palo Alto, Calif. : ebrary, 2014. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.
Specific material designation
remote
System control number
(WaSeSS)bookssj0001385064
Label
Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience, Emil Simiu, (electronic resource)
Publication
Bibliography note
Includes bibliographical references and index
Control code
OCM1bookssj0001385064
Dimensions
unknown
Isbn
9780691144344
Note
Electronic reproduction. Palo Alto, Calif. : ebrary, 2014. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.
Specific material designation
remote
System control number
(WaSeSS)bookssj0001385064

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