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.
Arnold, Random Dynamical Systems , Springer, Berlin, 1998
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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.