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| A New Model of Coupled Hindmarsh-Rose Neurons |
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| KeyWord:Coupled Hindmarsh-Rose equations Absorbing dynamics Synchronization of neurons |
| 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 |
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| Abstract: |
| A new model of two coupled neurons is presented by the partly diffusive HindmarshRose equations. The solution semiflow exhibits globally absorbing characteristics. As the main result, the self-synchronization of the coupled neurons at a uniform rate is proved, which can be extended to complex neuronal networks. |
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