STOCHASTIC FITZHUGH-NAGUMO SYSTEMS WITH DELAY

STOCHASTIC FITZHUGH-NAGUMO SYSTEMS WITH DELAY
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DOI:
10.11650/tjm.16.2012.2008
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发表时间:
2012-01
影响因子:
0.4
通讯作者:
Lu Xu;Weiping Yan
Lu Xu;Weiping Yan
中科院分区:
数学4区
文献类型:
--
作者:
Lu Xu;Weiping Yan

文献摘要

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研究了无穷格上时滞随机FitzHugh-Nagumo系统的随机吸引子的存在性。在适当的耗散条件下,证明了这类系统存在一个随机吸引子,该吸引子是一个随机紧不变集。
This paper is concerned with the existence of random attractors for the stochastic FitzHugh-Nagumo systems with delay on infinite lattice. Under suitable dissipative conditions, It shows that such a system has a random attractor which is a random compact invariant set.