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.
出处
《应用数学》
CSCD
北大核心
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 )