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• W2062100544 abstract "We study the properties of the probability density function (PDF) of a bistable system driven by heavy tailed white symmetric Lévy noise. The shape of the stationary PDF is found analytically for the particular case of the Lévy index α = 1 (Cauchy noise). For an arbitrary Lévy index we employ numerical methods based on the solution of the stochastic Langevin equation and space fractional kinetic equation. In contrast to the bistable system driven by Gaussian noise, in the Lévy case, the positions of maxima of the stationary PDF do not coincide with the positions of minima of the bistable potential. We provide a detailed study of the distance between the maxima and the minima as a function of the depth of the potential and the Lévy noise parameters." @default.
• W2062100544 created "2016-06-24" @default.
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• W2062100544 date "2013-01-01" @default.
• W2062100544 modified "2023-10-14" @default.
• W2062100544 title "Stationary states in bistable system driven by Lévy noise" @default.
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• W2062100544 doi "https://doi.org/10.1140/epjst/e2013-01736-0" @default.
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