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| Global Attractor of Hindmarsh-Rose Equations inNeurodynamics |
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| KeyWord:Diffusive Hindmarsh-Rose equations Global attractor Absorb-
ing property Asymptotic compactness Attractor regularity |
| Author Name | Affiliation | | Chi Phan | Department of Mathematics and Statistics, University of South Florida,
Tampa, FL 33620, USA | | Yuncheng You | Department of Mathematics and Statistics, University of South Florida,
Tampa, FL 33620, USA | | Jianzhong Su | Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA |
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| Abstract: |
| Global dynamics for a new mathematical model in neurodynamics of the diffusive Hindmarsh-Rose equations on a bounded domain is investigated in this paper. The existence of a global attractor and its regularity are proved through uniform estimates showing the dissipative properties and the asymptotically compact and smoothing characteristics. |
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