  Global dynamics of nonautonomous diffusive Hindmarsh-Rose equations on a
three-dimensional bounded domain in neurodynamics is investigated. The
existence of a pullback attractor is proved through uniform estimates showing
the pullback dissipative property and the pullback asymptotical compactness.
Then the existence of pullback exponential attractor is also established by
proving the smoothing Lipschitz continuity in a long run of the solution
process.
