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arXiv · 1310.7113

Singleton sets random attractor for stochastic FitzHugh-Nagumo lattice equations driven by fractional Brownian motions

Anhui Gu·Yangrong Li
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Abstract

The paper is devoted to the study of the dynamical behavior of the solutions of stochastic FitzHugh-Nagumo lattice equations, driven by fractional Brownian motions, with Hurst parameter greater than $1/2$. Under some usual dissipativity conditions, the system considered here features different dynamics from the same one perturbed by Brownian motion. In our case, the random dynamical system has a unique random equilibrium, which constitutes a singleton sets random attractor.

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Anhui Gu, Yangrong Li. 2013-10-26. Singleton sets random attractor for stochastic FitzHugh-Nagumo lattice equations driven by fractional Brownian motions. https://doi.org/10.1016/j.cnsns.2014.04.005

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