广义耦合FitzHugh-Nagumo方程解的渐近行为  

Asymptotic Behavious of Generalized Continuous and Discretized FitzHughNagumo Equations

作　　者：黄建华[1] 路钢[2] 

机构地区：[1]国防科大数学系,长沙410073 [2]华中师范大学数学系,武汉430079

出　　处：《应用数学》2003年第4期107-116,共10页Mathematica Applicata

基　　金：国家自然科学基金资助课题(199710 32 )

摘　　要：本文研究了广义耦合FitzHugh Nagumo方程及广义离散耦合FitzHugh Nagu mo方程 ,分别证明了连续模型及离散模型整体吸引子的存在性 ,并给出了其Huas dorff维数估计 。In this paper,we investigated the generalized coupled F itzHughNagumo equations,the discretized and coupled FitzHughNagumo equations ,respectively,the existences of global attractor for discretized model and conti nuous model are provided,the upper bounded of Hausdorff dimension are obtained,m oreover,the upper bound of the discretized global attractor is independent of  n.

关 键 词：耦合FitzHugh-Nagumo方程 解 渐近行为 整体吸引子 存在性 Huasdorff维数 离散模型 偏微分方程 神经细胞 

分 类 号：O175.2[理学—数学] Q42[理学—基础数学]