Institution
University of South Florida
Abstract
The global pullback dynamics of stochastic Hindmarsh-Rose equations with multiplicative noise 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 stochastic cocycle.
Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise
The global pullback dynamics of stochastic Hindmarsh-Rose equations with multiplicative noise 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 stochastic cocycle.
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