Stochastic resonance in a bistable piecewise potential: Analytical solution

V. Berdichevsky, M. Gitterman

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

We consider a bistable piecewise potential subject to both a periodic signal and a random force. The output signal-to-noise ratio (SNR) is calculated for a small-amplitude periodic signal of arbitrary frequency Ω and noise strength D. Our analysis not only recovers the well known non-monotonic dependence of SNR on D at fixed Ω, but also predicts the non-monotonic dependence of SNR on Ω at fixed D. The latter phenomenon does not appear in the commonly assumed adiabatic approximation which applies only at low frequencies.

Original languageEnglish
Pages (from-to)L447-L452
JournalJournal of Physics A: Mathematical and General
Volume29
Issue number18
DOIs
StatePublished - 1996

Fingerprint

Dive into the research topics of 'Stochastic resonance in a bistable piecewise potential: Analytical solution'. Together they form a unique fingerprint.

Cite this