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Type: Journal article
Title: Average and deviation for the stochastic FitzHugh-Nagumo system
Author: Wang, W.
Roberts, A.
Citation: Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2008; 50(SUPPL.):292-307
Publisher: Australian Mathematical Society
Issue Date: 2008
ISSN: 1446-1811
Statement of
Wei Wang and A. J. Roberts
Abstract: An averaged system for the slow-fast stochastic FitzHugh--Nagumo system is derived in this paper. The rate of convergence in probability is obtained as a byproduct. Moreover the deviation between the original system and the averaged system is studied. A martingale approach proves that the deviation is described by a Gaussian process. The deviation gives a more accurate asymptotic approximation than previous work.
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Mathematical Sciences publications

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