Coherent stochastic resonance in a sextic double-well potential

F. So and K.L. Liu

Physica A: Statistical Mechanics and its Applications, 2002, vol. 303, issue 1, 79-90

Abstract: We study the response of a stochastic system described by the one-dimensional Fokker–Planck equation with a sextic double-well potential U6(x)=(−c4x4+c6x6) to a weak sinusoidal periodic signal. Two types of boundary conditions have been investigated: (i) absorbing boundary conditions, and (ii) natural boundary conditions. The unperturbed propagators are calculated by the eigenfunction-expansion method. We find that for case (i), the mean survival time shows the coherent stochastic resonance, and for case (ii), the signal-to-noise ratio exhibits the stochastic resonance. The results are compared with those of the bistable quartic double-well potential U4(x)=(−12x2+14x4).

Keywords: Coherent stochastic resonance; Fokker–Planck equation; Bistable systems (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:303:y:2002:i:1:p:79-90

DOI: 10.1016/S0378-4371(01)00493-9

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