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Stochastic Stability of FitzHugh-Nagumo Systems in Infinite Lattice Perturbed by Gaussian White Noise

Stochastic Stability of FitzHugh-Nagumo Systems in Infinite Lattice Perturbed by Gaussian White Noise
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摘要 The current paper is devoted to the study of stochastic stability of FitzHugh-Nagumo systems in infinite lattice perturbed by Gaussian white noise. We first study the dynamics of stochastic FitzHugh-Nagumo systems, then prove the existence and uniqueness of their equilibriums, which mix exponentially. Finally, we investigate asymptotic behavior of equilibriums when the size of noise gets to zero. The current paper is devoted to the study of stochastic stability of FitzHugh-Nagumo systems in infinite lattice perturbed by Gaussian white noise. We first study the dynamics of stochastic FitzHugh-Nagumo systems, then prove the existence and uniqueness of their equilibriums, which mix exponentially. Finally, we investigate asymptotic behavior of equilibriums when the size of noise gets to zero.
作者 Yan ZHENG Jian Hua HUANG
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第11期2143-2152,共10页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China （Grant Nos. 10926096, 10971225）
关键词 Stochastic stability Gaussian white noise EQUILIBRIUM FitzHugh-Nagumo systems Stochastic stability, Gaussian white noise, equilibrium, FitzHugh-Nagumo systems
分类号 O211.63 [理学—概率论与数理统计] TN92 [电子电信—通信与信息系统]
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参考文献17

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Acta Mathematica Sinica,English Series
2011年 第11期

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