Title: Stochastic Resonance: A Mathematical Approach in the Small Noise Limit (Mathematical Surveys and Monographs, 194)
Publisher: Amer Mathematical Society
Publication Date: 2013
Language: English
ISBN 10: 1470410494
ISBN 13: 9781470410490
Binding: Hardcover
Condition: New
Weight: 644 grams

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Synopsis

The mathematical approach presented here differs from other approaches to stochastic resonance in that noise-induced random transitions in this model happen on time scales given by the exponential of the quotient of barrier height and noise amplification, and are due to large deviations. The topics are heuristics of noise-induced transitions, transitions for time-homogeneous dynamical systems with small noise, semi-classical theory of stochastic resonance in dimension one, and large deviations and transitions between meta-stable states of dynamical systems with small noise and weak inhomogeneity. Annotation �2014 Book News, Inc., Portland, OR (booknews.com)

About the Author

Samuel Herrmann, Universite de Bourgogne, Dijon, FrancePeter Imkeller, Humboldt-Universitat zu Berlin, Germany Ilya Pavlyukevich, Friedrich-Schiller-Universitat Jena, GermanyDierk Peithmann, Essen, Germany

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Stochastic Resonance: A Mathematical Approach in the Small Noise Limit (Mathematical Surveys and Monographs, 194)

Herrmann, Samuel; Imkeller, Peter; Pavlyukevich, Ilya; Peithmann, Dierk

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