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

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

 
9781470410490: Stochastic Resonance: A Mathematical Approach in the Small Noise Limit (Mathematical Surveys and Monographs, 194, Band 194)

Inhaltsangabe

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)

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Über die Autorin bzw. den Autor

Samuel Herrmann, Université de Bourgogne, Dijon, France

Peter Imkeller, Humboldt-Universität zu Berlin, Germany

Ilya Pavlyukevich, Friedrich-Schiller-Universität Jena, Germany

Dierk Peithmann, Essen, Germany

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ISBN 10:  3897229609 ISBN 13:  9783897229600
Verlag: Logos Verlag Berlin, 2002
Softcover