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

ZHENG Yan; HUANG Jian-hua

doi:10.3879/j.issn.1000-0887.2011.01.002

Volume 32 Issue 1

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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. doi: 10.3879/j.issn.1000-0887.2011.01.002

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

doi: 10.3879/j.issn.1000-0887.2011.01.002

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

Received Date: 2010-07-25
Rev Recd Date: 2010-11-26
Publish Date: 2011-01-15

Abstract

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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References(17)

References

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