Stochastic resonance in two-state Markov chains

Citation
P. Imkeller et I. Pavlyukevich, Stochastic resonance in two-state Markov chains, ARCH MATH, 77(1), 2001, pp. 107-115
Citations number
7
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
77
Issue
1
Year of publication
2001
Pages
107 - 115
Database
ISI
SICI code
0003-889X(20010701)77:1<107:SRITMC>2.0.ZU;2-X
Abstract
In this paper we introduce a model which provides a new approach to the phe nomenon of stochastic resonance. It is based on the study of the properties of the stationary distribution of the underlying stochastic process. We de rive the formula for the spectral power aplification coefficient, study its asymptotic properties and dependence on parameters.