Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900246 | Wave Motion | 2012 | 6 Pages |
Abstract
This paper considers the statistical properties of the traveling wave fronts of the scalar FitzHugh–Nagumo equation with random perturbations by two-parameter white noise ut=uxx+f(u)+εWxtut=uxx+f(u)+εWxt on the whole real line ℛℛ, where the traveling wave front connects two stable equilibria u=0u=0 and u=1u=1 of the reaction function f(u)f(u). As well as the method of Green’s function established by Tuckwell on a bounded domain, we get the asymptotic fluctuation behavior of two stable states which are two boundaries of the traveling wave front to the Nagumo equation by the fundamental solution. That is, the perturbations about the lower (upper) stable state reveal that the mean is increased (decreased) by zero mean white noise as t→+∞t→+∞.
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Geology
Authors
Ezi Wu, Yanbin Tang,