EFFECTS OF WHITE NOISE IN MULTISTABLE DYNAMICS

被引：4

作者：

Chen, Xinfu ^{[1
,2
]}

Caginalp, Carey ^{[3
]}

Hao, Jianghao ^{[1
]}

Zhang, Yajing ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] Brown Univ, Div Appl Math, Providence, RI 02912 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2013年 / 18卷 / 07期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Bistable; multistable; white noise; stochastic differential equation; invariant measure; Fokker-Planck/Kolmogorov equation; BISTABILITY DRIVEN; INVARIANT-MEASURES; HARMONIC NOISE; EQUATIONS; LIMIT; INTERFACE; MOTION;

D O I：

10.3934/dcdsb.2013.18.1805

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the invariant measure of multistable dynamics under the influence of white noise. We show that the invariant measure exists and in the limit of vanishing white noise, the invariant measure approaches a Dirac type measure concentrated at the most stable equilibria if fluctuations are uniform; however, a lesser stable equilibrium may be selected by the fluctuation if its ability to fluctuate is sufficiently smaller than other stable equilibria. Certain related mathematical issues are also addressed.

引用

页码：1805 / 1825

页数：21

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