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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 NameAffiliation
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.