English

A New Model of Coupled Hindmarsh-Rose Neurons

Analysis of PDEs 2019-10-31 v1

Abstract

A new model of two coupled neurons is presented by the partly diffusive Hindmarsh-Rose 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.

Keywords

Cite

@article{arxiv.1910.13864,
  title  = {A New Model of Coupled Hindmarsh-Rose Neurons},
  author = {Chi Phan and Yuncheng You},
  journal= {arXiv preprint arXiv:1910.13864},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1907.13225