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

作　　者：郑言 黄建华 

机构地区：[1]Department of Mathematics,National University of Defense Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》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)

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.

关 键 词：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]