Stochastic Hindmarsh-Rose equations, random dynamical system, random attractor, pullback absorbing set, pullback asymptotic compactness.
Digital Object Identifier (DOI)
The longtime and global pullback dynamics of stochastic Hind-marsh-Rose equations with multiplicative noise on a three-dimensional bounded domain in neurodynamics is investigated in this work. The existence of a random attractor for this random dynamical system is proved through the exponential transformation and uniform estimates showing the pullback absorbing property and the pullback asymptotically compactness of this cocycle in the [Math Processing Error] Hilbert space.
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Citation / Publisher Attribution
American Institute of Mathematical Sciences, v. 25, issue 8, p. 3233-3256
Scholar Commons Citation
Phan, Chi, "Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise" (2020). Mathematics and Statistics Faculty Publications. 67.