TY  - JOUR
A1  - Sliusarenko, O. Yu.
A1  - Surkov, D. A.
A1  - Gonchar, V. Yu.
A1  - Chechkin, Aleksei V.
T1  - Stationary states in bistable system driven by Levy noise
T2  - European physical journal special topics
N2  - We study the properties of the probability density function (PDF) of a bistable system driven by heavy tailed white symmetric L,vy noise. The shape of the stationary PDF is found analytically for the particular case of the L,vy index alpha = 1 (Cauchy noise). For an arbitrary L,vy 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 L,vy 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 L,vy noise parameters.
Y1  - 2013
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/35401
SN  - 1951-6355
VL  - 216
IS  - 1
SP  - 133
EP  - 138
PB  - Springer
CY  - Heidelberg
ER  -