Global Attractor for High-dimensional Spacially Discrete FitzHugh-Nagumo System in Weighted Space  

作　　者：YIN Fu-qi JIANG Hong JIN Meng-zhao LIU Zhi-qi 

机构地区：[1]School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China [2]Department of Basic Education,Shangqiu Institute of Technology,Shangqiu 476000,China [3]Xiangtan Industry and Trade School,Xiangtan 411105,China

出　　处：《Chinese Quarterly Journal of Mathematics》2020年第3期255-277,共23页数学季刊（英文版）

基　　金：Supported by The Scientic Research Foundation Funded by Hunan Provincial Education Department under grant 19A503;Partially supported by Hunan Provincial Exploration of Undergraduate Research Learning and Innovative Experiment Project:2018XTUSJ008;Hunan Provincial Natural Science Foundation of China under grant 2015JJ2144.

摘　　要：In this paper,We study the global attractor and its properties on in nite lattice dynamical system FitzHugh-Nagumo in a weighted space lσ^2×lσ^2.We prove the existence and uniqueness of the solution to the lattice dynamical system FitzHugh-Nagumo in lσ^2×lσ^2.Then we get a bounded absorbing set,which suggests the existence of global attractors.Finally,we study the uniform boundedness and the upper semicontinuity of the global attractor.

关 键 词：Global attractor FitzHugh-Nagumo equation High-dimensional discretiza-tion Weighted space 

分 类 号：O213.2[理学—概率论与数理统计]