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Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise |
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| Authors: | Yan Zheng Jian-hua Huang |
| Institution: | Department of Mathematics, National University of Defense Technology, Changsha 410073, P.R.China |
| Abstract: | 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. |
| Keywords: | stochastic stability FitzHugh-Nagumo systems invariant measures Gaussian white noise |
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