Gauss噪声扰动下的FitzHugh-Nagumo系统的随机稳定性

郑言; 黄建华

doi:10.3879/j.issn.1000-0887.2011.01.002

Gauss噪声扰动下的FitzHugh-Nagumo系统的随机稳定性

doi: 10.3879/j.issn.1000-0887.2011.01.002

郑言,
黄建华

国防科学技术大学理学院,长沙 410073

基金项目: 国家自然科学基金资助项目(10926096;10971225)

详细信息

作者简介:
郑言(1979- ),男,沈阳人,讲师,博士(联系人.E-mail:yanzhengyl@163.com).

中图分类号: O19
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出版历程
- 收稿日期: 2010-07-25
- 修回日期: 2010-11-26
- 刊出日期: 2011-01-15

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

Department of Mathematics, National University of Defense Technology, Changsha 410073, P. R. China

摘要

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．
- 随机稳定性 /
- FitzHugh-Nagumo系统 /
- 不变测度 /
- Gauss白噪声
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.
- stochastic stability /
- FitzHugh-Nagumo systems /
- invariant measures /
- Gaussian white noise

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参考文献(17)

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