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• W2076160408 abstract "An approximate Fokker-Planck equation for a general one-dimensional system driven by correlated noises is derived; the correlation times of the correlations between the noises are nonzero. The steady-state properties of the bistable kinetic model are analyzed. We find the following. (1) In the $ensuremath{alpha}ensuremath{-}D$ parameter plane ($ensuremath{alpha}$ and $D$ are the additive noise and multiplicative noise intensities, respectively), the area of the bimodal region of the stationary probability distribution (SPD) is contracted as $ensuremath{lambda}$ is increased ($ensuremath{lambda}$ is the strength of the correlations between noises), but the area of the bimodal region of the SPD is enlarged as $ensuremath{tau}$ is increased ($ensuremath{tau}$ is the correlation time of the correlations between noises). (2) $ensuremath{lambda}$ and $ensuremath{tau}$ play opposing roles in the transition of the SPD of the system. (3) For the case of perfectly correlated noises ($ensuremath{lambda}=1$), there is not the phenomenon of the critical ratio ($frac{ensuremath{alpha}}{D}=1$) which was shown by Wu, Cao, and Ke [Phys. Rev. E 50, 2496 (1994)]. (4) The change of the mean of the state variable is very remarkable in the small $ensuremath{tau}$ and large $ensuremath{lambda}$ regimes. (5) The normalized variance of the state variable increases with increasing $ensuremath{tau}$, but decreases with increasing $ensuremath{lambda}$." @default.
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• W2076160408 date "1996-06-01" @default.
• W2076160408 modified "2023-09-27" @default.
• W2076160408 title "Steady-state analysis of a bistable system with additive and multiplicative noises" @default.
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• W2076160408 doi "https://doi.org/10.1103/physreve.53.5786" @default.
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