For a two-dimensional bounded domain, the stochastic Hindmarsh-Rose equations with additive noise are claimed to possess a unique random pullback attractor in L2 space.
Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise
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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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Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise
For a two-dimensional bounded domain, the stochastic Hindmarsh-Rose equations with additive noise are claimed to possess a unique random pullback attractor in L2 space.