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arXiv · 1908.05661

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics

Chi Phan·Yuncheng You
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Abstract

The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property of an abstract reaction-diffusion equation also proved in this paper. The results infer that the global attractor whose existence has been established in [23] for the Hindmarsh-Rose semiflow has a finite fractal dimension.

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Chi Phan, Yuncheng You. 2019-08-14. Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics. https://arxiv.org/abs/1908.05661

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