Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418452 | Journal of Mathematical Analysis and Applications | 2014 | 20 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hongbo Fu, Li Wan, Youzhen Wang, Jicheng Liu,