most citedA New Model of Coupled Hindmarsh-Rose Neurons

3 citations · 5 across the 3 of their papers we have counts for

collaborators

9 papers

math.DS2020

Exponential Synchronization of 2D Cellular Neural Networks with Boundary Feedback

Leslaw Skrzypek, Chi Phan, Yuncheng You

In this work we propose a new model of 2D cellular neural networks (CNN) in terms of the lattice FitzHugh-Nagumo equations with boundary feedback and prove a threshold condition fo…

math.AP20202 cited

Dynamics and Synchronization of Complex Neural Networks with Boundary Coupling

Chi Phan, Leslaw Skrzypek, Yuncheng You

A new mathematical model for complex neural networks of the partly diffusive Hindmasrh-Rose equations with boundary coupling is proposed. Through analysis of absorbing dynamics for…

math.AP2019

Synchronization of Boundary Coupled Hindmarsh-Rose Neuron Network

Chi Phan, Yuncheng You

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 pro…

math.AP20193 cited

A New Model of Coupled Hindmarsh-Rose Neurons

Chi Phan, Yuncheng You

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 res…

math.AP2019

Global Dynamics of Nonautonomous Hindmarsh-Rose Equations

Chi Phan, Yuncheng You

Global dynamics of nonautonomous diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain in neurodynamics is investigated. The existence of a pullback attractor is…

math.AP2019

Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise

Chi Phan, Yuncheng You

For stochastic Hindmarsh-Rose equations with additive noises in the study of neurodynamics, the longtime and global pullback dynamics on a two-dimensional bounded domain is explore…