| Gauss噪声扰动下的FitzHugh-Nagumo系统的随机稳定性 |
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| 引用本文： | 郑言,黄建华.Gauss噪声扰动下的FitzHugh-Nagumo系统的随机稳定性[J].应用数学和力学,2011,32(1):11-21. |
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| 作者姓名： | 郑言 黄建华 |
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| 作者单位： | 国防科学技术大学 理学院,长沙 410073 |
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| 摘 要： | 在Gauss噪声扰动下FitzHugh-Nagumo系统的随机稳定性是该文的研究目的．通过研究随机FitzHugh-Nagumo系统的动力学行为, 证明其存在唯一的、具有指数混合速度的不变测度．最后, 考察当噪声趋于0时不变测度的渐近行为．
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| 关 键 词： | 随机稳定性 FitzHugh-Nagumo系统 不变测度 Gauss白噪声 |
| 收稿时间： | 2010-07-25 |
Stochastic Stability of FitzHugh-Nagumo Systems Perturbed by Gaussian White Noise |
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| ZHENG Yan,HUANG Jian-hua.Stochastic Stability of FitzHugh-Nagumo Systems Perturbed by Gaussian White Noise[J].Applied Mathematics and Mechanics,2011,32(1):11-21. |
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| Authors: | ZHENG Yan HUANG Jian-hua |
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| Affiliation: | Department of Mathematics, National University of Defense Technology, Changsha 410073, P. R. China |
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| Abstract: | Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise was studied. The dynamics of stochastic FitzHugh-Nagumo systems was studied first,which is essential in establishing the existence and uniqueness of their invariant measures,which mix exponentially. Then,asymptotic behavior of invariant measures when the size of noise gets to zero was investigated. |
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| Keywords: | stochastic stability FitzHugh-Nagumo systems invariant measures Gaussian white noise |
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