A random dynamical systems perspective on stochastic resonance

被引：25

作者：

Cherubini, Anna Maria ^{[1
]}

Lamb, Jeroen S. W. ^{[2
]}

Rasmussen, Martin ^{[2
]}

Sato, Yuzuru ^{[3
,4
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, I-73100 Lecce, Italy

[2] Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ, England

[3] Hokkaido Univ, Dept Math, Kita Ku, Kita 12 Nishi 6, Sapporo, Hokkaido 0600812, Japan

[4] London Math Lab, 14 Buckingham St, London WC2N 6DF, England

来源：

NONLINEARITY | 2017年 / 30卷 / 07期

基金：

英国工程与自然科学研究理事会; 俄罗斯科学基金会;

关键词：

nonautonomous random dynamical systems; stochastic resonance; Markov measures; random attractors; RANDOM PERIODIC-SOLUTIONS; ATTRACTORS;

D O I：

10.1088/1361-6544/aa72bd

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a nonautonomous forcing. We prove the existence of a unique global attracting random periodic orbit and a stationary periodic measure. We use the stationary periodic measure to define an indicator for the stochastic resonance.

引用

页码：2835 / 2853

页数：19

共 35 条

[31] VERETENNIKOV AY, 1988, IZV AKAD NAUK SSSR M, V52, P899
[32] Existence, stability and bifurcation of random complete and periodic solutions of stochastic parabolic equations
Wang, Bixiang
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 103 : 9 - 25
[33] Random periodic solutions of random dynamical systems
Zhao, Huaizhong
Zheng, Zuo-Huan
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (05) : 2020 - 2038
[34] [No title captured]
[35] [No title captured]

← 1 2 3 4 →