  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.
