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

35 citations · 59 across the 10 of their papers we have counts for

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math.DS2014

A random attractor for stochastic porous media equations on infinite lattices

Anhui Gu, Yangrong Li, Jia Li

The paper is devoted to studying the existence of a random attractor for stochastic porous media equations on infinite lattices under some conditions.

math.DS2014★ 11 cited

Random Attractors of Stochastic Lattice Dynamical Systems Driven by Fractional Brownian Motions and its Erratum

Anhui Gu

This paper is devoted to considering the stochastic lattice dynamical systems (SLDS) driven by fractional Brownian motions with Hurst parameter bigger than . Under usual dissi…

math.DS2014★ 1 cited

Sufficient Criteria for Existence of Pullback Attractors for Stochastic Lattice Dynamical Systems with Deterministic Non-autonomous Terms

Anhui Gu, Yangrong Li

We consider the pullback attractors for non-autonomous dynamical systems generated by stochastic lattice differential equations with non-autonomous deterministic terms. We first es…

math.DS2013★ 1 cited

Synchronization of Coupled Stochastic Systems Driven by Non-Gaussian Lévy Noises

Anhui Gu, Yangrong Li

We consider the synchronization of the solutions to coupled stochastic systems of -stochastic ordinary differential equations (SODEs) driven by Non-Gaussian Lévy noises ($N\in \…

math.DS2013★ 10 cited

Random Attractor For Stochastic Lattice FitzHugh-Nagumo System Driven By -stable Lévy Noises

Anhui Gu, Yangrong Li, Jia Li

The present paper is devoted to the existence of a random attractor for stochastic lattice FitzHugh-Nagumo system driven by -stable Lévy noises under some dissipative conditions…

math.DS2013★ 35 cited

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

Anhui Gu, Yangrong Li

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 para…