Gauss噪声扰动下的FitzHugh-Nagumo系统的随机稳定性  

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

作　　者：郑言[1] 黄建华[1] 

机构地区：[1]国防科学技术大学理学院,长沙410073

出　　处：《应用数学和力学》2011年第1期11-21,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10926096;10971225)

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.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.

关 键 词：随机稳定性 FitzHugh-Nagumo系统 不变测度 Gauss白噪声 

分 类 号：O19[理学—数学]