Articles liés à Stochastic Resonance: A Mathematical Approach in the...

Stochastic Resonance: A Mathematical Approach in the Small Noise Limit - Couverture rigide

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

 
9781470410490: Stochastic Resonance: A Mathematical Approach in the Small Noise Limit
Couverture rigide
ISBN 10 : 1470410494 ISBN 13 : 9781470410490
Editeur : American Mathematical Society, 2014

Synopsis

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.

The authors show that not all physical measures of tuning quality are robust with respect to dimension reduction. They propose measures of tuning quality based on exponential transition rates explained by large deviations techniques and show that these measures are robust.

The book sheds some light on the shortcomings and strengths of different concepts used in the theory and applications of stochastic resonance without attempting to give a comprehensive overview of the many facets of stochastic resonance in the various areas of sciences. It is intended for researchers and graduate students in mathematics and the sciences interested in stochastic dynamics who wish to understand the conceptual background of stochastic resonance.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2014
Langue
anglais
ISBN 10 
1470410494
ISBN 13 
9781470410490
Reliure
Relié
Nombre de pages
189
Coordonnées du fabricant
non disponible
Personne responsable
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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