Dynamical behaviors of non-autonomous fractional FitzHugh-Nagumo system driven by additive noise in unbounded domains

作     者：Chunxiao GUO Yiju CHEN Ji SHU Xinguang YANG Chunxiao GUO;Yiju CHEN;Ji SHU;Xinguaug YANG

作者机构：Department of MathematicsChina University of Mining and TechnologyBeijing 100083China Department of MathematicsSichuan UniversityChengdu 610065China School of Mathematical ScienceLaurent Mathematics Center and V.C.&:V.R.Key LabSichuan Normal UniversityChengdu 610066China Department of Mathematics and Information ScienceHenan Normal UniversityXinxiang 453007China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2021年第16卷第1期

页      面：59-93页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work was partially supported by the National Natural Science Foundation of China(Grant Nos.11771444,11871138) the Yue Qi Young Scholar Project China University of Mining and Technology(Beijing),China Scholarship Council(CSC) the Funding of V.C.&V.R.Key Lab of Sichuan Province the Funding of Young Backbone Teacher in Henan Province Henan Overseas Expertise Introduction Center for Discipline Innovation 

主　　题：Fractional stochastic FitzHugh-Nagumo system random attractor asymptotic compactness 

摘      要：The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo *** prove that the system has a pullback random attractor that is compact in Hs(R^(n))×L^(2)(R^(n))and attracts all tempered random sets of L^(2)(R^(n))×L^(2)(R^(n))in the topology of Hs(R^(n))×L^(2)(R^(n))with s∈(0,1).By the idea of positive and negative truncations,spectral decomposition in bounded domains,and tail estimates,we achieved the desired results.