https://doi.org/10.1140/epjb/e2006-00288-4
Stochastic resonance: influence of a f-κ noise spectrum
1
Centro Atómico Bariloche and Instituto Balseiro, 8400 Bariloche, Río Negro, Argentina
2
Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, New Mexico, 87501, USA
3
Instituto de Fisica de Cantabria, Universidad de Cantabria and CSIC, Avda. Los Castros s/n, 39005 Santander, Spain
Corresponding authors: a fuentesm@cab.cnea.gov.ar - b wio@ifca.unican.es
Received:
6
February
2006
Revised:
29
March
2006
Published online:
31
July
2006
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-κ (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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006