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.
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页数：38
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