Random Attractors for Non-autonomous Stochastic Lattice FitzHugh-Nagumo Systems with Random Coupled Coefficients

被引：17

作者：

Wang, Zhaojuan ^{[1
]}

Zhou, Shengfan ^{[2
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Stochastic lattice dynamical system; Random attractor; Random coupled coefficient; White noise; REACTION-DIFFUSION EQUATIONS; DYNAMICAL-SYSTEMS; UPPER SEMICONTINUITY; ASYMPTOTIC-BEHAVIOR; PULLBACK ATTRACTORS; KERNEL SECTIONS; SUFFICIENT; EXISTENCE;

D O I：

10.11650/tjm.20.2016.6699

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the non-autonomous stochastic lattice FitzHugh-Nagumo system with random coupled coefficients and multiplicative white noise. We consider the existence of random attractors in a weighted space l(rho)(1) x l(rho)(2) for this system, and establish the upper semicontinuity of random attractors as the intensity of noise approaches zero.

引用

页码：589 / 616

页数：28

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