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Stochastic resonance: influence of a f noise spectrum

  • M. A. FuentesEmail author
  • H. S. Wio
Statistical and Nonlinear Physics

Abstract.

With the aim of studying stochastic resonance (SR) in a double-well potential when the noise source has a spectral density of the form f (with varying κ), we have extended a procedure introduced by Kaulakys et al. (Phys. Rev. E 70, 020101 (2004)). In order to achieve an analytical understanding of the results, we have obtained an effective Markovian approximation that allows us to make a systematic study of the effect of such noise on the SR phenomenon. A comparison of the numerical and analytical results shows an excellent qualitative agreement indicating that the effective Markovian approximation is able to correctly describe the general trends.

PACS.

02.50.Ey Stochastic processes 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion 02.50.-r Probability theory, stochastic processes, and statistics  

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  1. 1.Centro Atómico Bariloche and Instituto BalseiroRío NegroArgentina
  2. 2.Santa Fe InstituteSanta FeUSA
  3. 3.Instituto de Fisica de Cantabria, Universidad de Cantabria and CSICSantanderSpain

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