Stochastic Resonance A Mathematical Approach in the Small Noise Limit

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

ISBN 10: 1470410494 / ISBN 13: 9781470410490

Published by Amer Mathematical Society, 2014

About this Item

189 pages. 10.50x7.50x0.75 inches. In Stock.

Seller Inventory # __1470410494

Bibliographic Details

• Title: Stochastic Resonance A Mathematical Approach in the Small Noise Limit
• Publisher: Amer Mathematical Society
• Publication Date: 2014
• Language: English
• ISBN 10: 1470410494
• ISBN 13: 9781470410490
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.52 kilograms

About this title

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