| Volume 10, Number 5, 2020, Pages 2036-2057 DOI：10.11948/20190321 |
| Exponential attractor for Hindmarsh-Rose equations in neurodynamics |
| Chi Phan,Yuncheng You |
| Keywords:Diffusive Hindmarsh-Rose equations, exponential attractor, squeezing property, compact absorbing set, finite fractal dimension. |
| Abstract: |
| The existence of exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain in the study of neurodynamics is proved through uniform estimates and a new theorem on the squeezing property of the abstract reaction-diffusion equation established in this paper. This result on the exponential attractor infers that the global attractor whose existence has been proved in [22] for the diffusive Hindmarsh-Rose semiflow has a finite fractal dimension. |
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