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arXiv · 1908.01220

Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise

Chi Phan
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Abstract

The longtime and global pullback dynamics of stochastic Hindmarsh-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 $L^2$ Hilbert space.

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Chi Phan. 2019-08-03. Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise. https://arxiv.org/abs/1908.01220

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