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Strong convergence rate in averaging principle for stochastic FitzHugh–Nagumo system with two time-scales.
- Source :
-
Journal of Mathematical Analysis & Applications . Aug2014, Vol. 416 Issue 2, p609-628. 20p. - Publication Year :
- 2014
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 416
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 95460543
- Full Text :
- https://doi.org/10.1016/j.jmaa.2014.02.062