Synchronization of Boundary Coupled Hindmarsh-Rose Neuron Network
Analysis of PDEs
2019-12-12 v2
Abstract
In this work, we present a new mathematical model of a boundary coupled neuron network described by the partly diffusive Hindmarsh-Rose equations. We prove the global absorbing property of the solution semiflow and then the main result on the asymptotic synchronization of this neuron network at a uniform exponential rate provided that the boundary coupling strength and the stimulating signal exceed a quantified threshold in terms of the parameters.
Keywords
Cite
@article{arxiv.1912.02961,
title = {Synchronization of Boundary Coupled Hindmarsh-Rose Neuron Network},
author = {Chi Phan and Yuncheng You},
journal= {arXiv preprint arXiv:1912.02961},
year = {2019}
}