16 citations · 26 across the 15 of their papers we have counts for
6 papers · 2 filters
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…
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…
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…
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…
Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics
Chi Phan, Yuncheng You
The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved throug…
Global Attractors for Hindmarsh-Rose Equations in Neurodynamics
Chi Phan, Yuncheng You, Jianzhong Su
Global dynamics of the diffusive and partly diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in neurodynamics are investigated in this paper. The…