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

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xaA%B~d }0Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise

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+]2i0fB)x/]4c0Abstract: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.水利论文4G,{#} |A)ad

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作者:

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Yan ZHENG Jian-hua HUANG水利论文 y.CD|-_VU!K$}

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作者单位:水利论文.co,b7a:~S L

2}&V9b,N T1U-J0Department of Mathematics, National University of Defense Technology, Changsha 410073, P.R.China水利论文L&c(zF"T?O

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期 刊:

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应用数学和力学(英文版)水利论文 L X3D;ep7@8xbo"G

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APPLIED MATHEMATICS AND MECHANICS

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2011, 32(1)水利论文-x_!u,j*{+~!@}

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stochastic stability水利论文|6}jSl s7b2ty

(Ef|qf@d'x0FitzHugh-Nagumo systems

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zZ*{&f"\0invariant measures水利论文 V'{9A&P}

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Gaussian white noise水利论文}Jp3XzQ(FY

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+R`/A8A,~*stA0机标关键词:

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invariant measures existence and uniqueness stochastic stability Gaussian white study paper

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1o&gl1h,zO$NYJ0基金项目:水利论文H*_6D7Na|1w

$FQ+S4Im4i nFf0the National Natural Science Foundation of China

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