Adelaide Research & Scholarship
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https://hdl.handle.net/2440/55794
| 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 1446-8735 |
| Statement of Responsibility: | 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. |
| Description (link): | http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1391 |
| Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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