Synchronization of boundary coupled Hindmarsh–Rose neuron network. (October 2020)

• Record Type: Journal Article
• Authors: Phan, Chi; You, Yuncheng
• Is Part Of: Nonlinear analysis. Volume 55(2020)
• Publication Date: 2020-10
• Subjects: Neuron network -- Synchronization with boundary coupling -- Hindmarsh–Rose equations -- Absorbing semiflow; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103139
• Languages: English
• ISSNs: 1468-1218

Abstract

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.