随机时滞FitzHugh-Nagumo格点系统随机吸引子的存在性

摘要

利用切尾技巧,研究随机时滞FitzHugh-Nagumo格点系统随机吸引子的存在性.在适当的耗散性条件下,证明了该系统随机吸引子的存在性,即随机紧不变集的存在性.%This paper deals with the existence of random attractors for the stochastic FitzHugh-Nagumo systems with delay on infinite lattice. Under suitable dissipative conditions, it is shown that such a system has a random attractor which is a random compact invariant set.