Open AccessSteady-state analysis of a tristable system driven by a correlated multiplicative and an additive colored noises
Author(s) -
Pengfei Shi,
Pei Li,
Dongying Han
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.170504
Subject(s) - multiplicative function , noise (video) , multiplicative noise , colors of noise , colored , steady state (chemistry) , statistical physics , probability density function , function (biology) , mathematics , physics , statistics , mathematical analysis , white noise , materials science , computer science , chemistry , signal transfer function , artificial intelligence , analog signal , image (mathematics) , digital signal processing , composite material , evolutionary biology , biology , computer hardware
The steady-state problems of a tristable system are studied under the action of color correlated multiplicative and additive colored noise. Firstly, the expression of the steady-state probability density function is derived based on the uniform colored noise approximation, and then the change regulation of the steady-state probability density function is analyzed with the change of the strength and relevance of multiplicative noise and additive noise. Results show that the non-equilibrium phase transition of the system can be induced by the correlation strength and time of additive noise and multiplicative noise as well as the additive noise strength.