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Stochastic Resonance: A Mathematical Approach in the Small Noise Limit (Mathematical Surveys and Monographs, 194) - Hardcover
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)
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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
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Stochastic Resonance A Mathematical Approach in the Small Noise Limit
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Stochastic Resonance : A Mathematical Approach in the Small Noise Limit
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Imkeller, P: Stochastic Resonance
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Gebunden. Condition: New. KlappentextrnrnStochastic resonance is a phenomenon arising in a wide spectrum of areas in the sciences ranging from physics through neuroscience to chemistry and biology. This book presents a mathematical approach to stochastic resonan. Seller Inventory # 595974972
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Stochastic Resonance: A Mathematical Approach in the Small Noise Limit (Mathematical Surveys and Monographs, 194)
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Buch. Condition: Neu. Neuware - Stochastic resonance is a phenomenon arising in a wide spectrum of areas in the sciences ranging from physics through neuroscience to chemistry and biology. This book presents a mathematical approach to stochastic resonance which is based on a large deviations principle (LDP) for randomly perturbed dynamical systems with a weak inhomogeneity given by an exogenous periodicity of small frequency. Resonance, the optimal tuning between period length and noise amplitude, is explained by optimising the LDP's rate function. Seller Inventory # 9781470410490
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