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|Title:||Average and deviation for the stochastic FitzHugh-Nagumo system|
|Citation:||Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2008; 50(SUPPL.):292-307|
|Publisher:||Australian Mathematical Society|
|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.|
|Appears in Collections:||Aurora harvest|
Mathematical Sciences publications
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