Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white nois

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a+|)[M2a0Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise

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O"@(it5D{o B0Abstract:The current paper is devoted to the study of the stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise. First, the dynamics of stochastic FitzHugh-Nagumo systems are studied. Then, the existence and uniqueness of their invariant measures, which mix exponentially are proved. Finally, the asymptotic behaviors of invariant measures when size of noise gets to zero are investigated.

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作者:

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Yan ZHENG Jian-hua HUANG水利论文!ski'U$Po

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A~2d-q h0Department of Mathematics, National University of Defense Technology, Changsha 410073, P.R.China

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应用数学和力学(英文版)

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JL T/Hx1W h0APPLIED MATHEMATICS AND MECHANICS水利论文 [&N:].g i

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stochastic stability水利论文,NM^BS

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FitzHugh-Nagumo systems水利论文,^7b}#zLBKg'R d

6I/Bv)?2X%[*vQ0invariant measures

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Gaussian white noise水利论文}1^1Ze:MA7k6t

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机标关键词:

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invariant measures existence and uniqueness stochastic stability Gaussian white study paper水利论文 U mp5n-]\

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基金项目:水利论文7n F KQDb;~

vbk$iXC-X-iGo?0the National Natural Science Foundation of China水利论文"_6] ~SwH

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