Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh-Nagumo lattice systems with quasi-periodic forces and multiplicative noise

被引：9

作者：

Han, Zongfei ^{[1
]}

Zhou, Shengfan ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2020年 / 20卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Random uniform exponential attractor; non-autonomous random dynamical system; lattice system; FitzHugh-Nagumo lattice system; quasi-periodic force; multiplicative noise; DYNAMICAL-SYSTEMS; WAVE-EQUATION; DIMENSION; EXISTENCE; BEHAVIOR; COCYCLE;

D O I：

10.1142/S0219493720500367

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We first give an existence criterion for a random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system defined on the product space of N-weighted spaces of infinite sequences. Then, based on this criterion, we prove the existence of random uniform exponential attractors for stochastic lattice systems and stochastic FitzHugh-Nagumo lattice systems that are both with quasi-periodic forces.

引用

页数：38

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