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arXiv · 1909.03196

Global Dynamics of Nonautonomous Hindmarsh-Rose Equations

Chi Phan·Yuncheng You
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Abstract

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.

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Chi Phan, Yuncheng You. 2019-09-07. Global Dynamics of Nonautonomous Hindmarsh-Rose Equations. https://arxiv.org/abs/1909.03196

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