Article ID Journal Published Year Pages File Type
6418452 Journal of Mathematical Analysis and Applications 2014 20 Pages PDF
Abstract

This article deals with averaging principle for stochastic FitzHugh-Nagumo system with different time-scales. Under suitable conditions, the existence of an averaging equation eliminating the fast variable for this coupled system is proved, and as a consequence, the system can be reduced to a single stochastic ordinary equation with a modified coefficient. Moreover, the rate of convergence for the slow component towards the solution of the averaging equation is of order 1/2.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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