Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics
Analysis of PDEs
2019-08-19 v1
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.
Keywords
Cite
@article{arxiv.1908.05661,
title = {Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics},
author = {Chi Phan and Yuncheng You},
journal= {arXiv preprint arXiv:1908.05661},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1907.13225