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

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Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise水利论文~v8y1\+F!c!|

2Ms6Ig dc D&d0Abstract: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A&?&A1XcNzD

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Author:

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Yan ZHENG Jian-hua HUANG水利论文#BRh~r e:Ku8C

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作者单位:

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Q6I$u c YB{0Department of Mathematics, National University of Defense Technology, Changsha 410073, P.R.China

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Journal:

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APPLIED MATHEMATICS AND MECHANICS

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年,卷(期):

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2011, 32(1)

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Keywords:

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N&D `U7N&Ey;zQz0stochastic stability水利论文J7{ qduZ)U

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FitzHugh-Nagumo systems

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invariant measures水利论文_ Bw)POxf

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Gaussian white noise水利论文9|Ng{sR

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6V.J b dn0invariant measures existence and uniqueness stochastic stability Gaussian white study paper水利论文 d xcMj2\

T6tC q{P/EX5l/X0基金项目:

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t/t)A:HiA0the National Natural Science Foundation of China水利论文4j(J&R_ Cy1M7@[X;~

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