TY - JOUR T1 - A New Model of Coupled Hindmarsh-Rose Neurons AU - Phan , Chi AU - You , Yuncheng JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 79 EP - 94 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.79 UR - https://global-sci.org/intro/article_detail/jnma/18799.html KW - Coupled Hindmarsh-Rose equations, Absorbing dynamics, Synchronization of neurons. AB -

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.