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METHODOLOGICAL NOTES

What are stochastic filtering and stochastic resonance?

Yu. L. Klimontovich

Lomonosov Moscow State University, Faculty of Physics

Abstract: The concept of stochastic resonance (SR) was introduced in 1981 in the study of ice-age periodicity in the northern hemisphere. To describe this phenomenon, a relaxation model — an overdamped bistable oscillator — is used. SR is caused by the simultaneous action of a periodic signal and noise and appears as a nonmonotone response to noise intensity variations. Since the subject of the study is actually the filter passband width as a function of noise intensity, 'stochastic filtering' (SF) seems to be a more appropriate term to describe the phenomenon. It is shown that when driven by a signal and noise, a low-attenuation bistable oscillator also displays ordinary SR when the signal frequency coincides with the effective noise-intensity-dependent frequency of the oscillator. Thus the possibility of the resonance being controlled by varying the noise intensity arises.

PACS: 02.50.Ey, 05.40.+j, 05.45.+b, 87.70.+c

Received: March 19, 1998

DOI: 10.3367/UFNr.0169.199901d.0039

 English version: Physics–Uspekhi, 1999, 42:1, 37–44

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