Global dynamics of nonautonomous Hindmarsh–Rose equations

Publication date: June 2020Source: Nonlinear Analysis: Real World Applications, Volume 53Author(s): Chi Phan, Yuncheng YouAbstractGlobal 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.

Source: Nonlinear Analysis: Real World Applications - December 25, 2019 Category: Research Source Type: research