|
| Global Attractor of Hindmarsh-Rose Equations inNeurodynamics |
| |
| View Full Text View/Add Comment Download reader |
| 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 |
|
| Hits: 447 |
| Download times: 696 |
| 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. |
|
|
|
