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

Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise
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摘要 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. 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.
作者 郑言 黄建华
机构地区 Department of Mathematics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第1期11-22,共12页 应用数学和力学（英文版）
基金 Project supported by the National Natural Science Foundation of China(No.10926096)
关键词 stochastic stability FitzHugh-Nagumo systems invariant measures Gaussian white noise stochastic stability, FitzHugh-Nagumo systems, invariant measures,Gaussian white noise
分类号 O324 [理学—一般力学与力学基础]
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参考文献17

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Applied Mathematics and Mechanics(English Edition)
2011年 第1期

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