Wong-Zakai approximations and long term behavior of stochastic FitzHugh-Nagumo system

作     者：Ling Qin Dandan Ma Ji Shu 

作者机构：School of Mathematics Science Laurent Mathematics Center and V.C.&V.R.Key Lab Sichuan Normal UniversityChengdu 610066P.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2021年第14卷第3期

页      面：23-52页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11871138) joint research project of Laurent Mathematics Center of Sichuan Normal University and National-Local Joint Engineering Laboratory of System Credibility Automatic Verification and the funding of V.C.&V.R.Key Lab of Sichuan Province 

主　　题：Wong-Zakai approximation random attractor FitzHugh-Nagumo system upper semicontinuity white noise 

摘      要：This paper is concerned with the Wong-Zakai approximations given by a stationary pro­cess via the Wiener shift and their associated long term behavior of stochastic FitzHugh-Nagumo system driven by white *** prove the existence and uniqueness of pullback random attractors for the approximate system under much weaker conditions than the original *** the system is driven by additive white noise,we also prove the convergence of solutions of Wong-Zakai approximations and the upper semicontinuity of random attractors of the approximate random system as the size of approximation approaches zero.