Please use this identifier to cite or link to this item:
|Title:||Average and deviation for the stochastic FitzHugh-Nagumo system|
|Citation:||The 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:||Mathematical Sciences publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.