Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded Domains
نویسنده
چکیده
The existence of a random attractor for the stochastic FitzHugh-Nagumo system defined on an unbounded domain is established. The pullback asymptotic compactness of the stochastic system is proved by uniform estimates on solutions for large space and time variables. These estimates are obtained by a cut-off technique.
منابع مشابه
Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System on Unbounded Domains
The existence of a pullback attractor is established for the singularly perturbed FitzHughNagumo system defined on the entire space Rn when external terms are unbounded in a phase space. The pullback asymptotic compactness of the system is proved by using uniform a priori estimates for far-field values of solutions. Although the limiting system has no global attractor, we show that the pullback...
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