Stochastic Resonance A Mathematical Approach in the Small Noise Limit |
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| Author:
| Imkeller, Peter
Herrmann, Samuel
Pavlyukevich, Ilya
Peithmann, Dierk |
| Series title: | Mathematical Surveys and Monographs |
| ISBN: | 978-1-4704-1049-0 |
| Publication Date: | Apr 2014 |
| Publisher: | American Mathematical Society
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| Book Format: | Hardback |
| List Price: | USD $82.00USD $82.00 |
Book Description:
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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...
More DescriptionStochastic 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.