3 citations · 9 across the 10 of their papers we have counts for
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Dynamics and Synchronization of Boundary Coupled FitzHugh-Nagumo Neural Networks
Leslaw Skrzypek, Yuncheng You
In this work a new mathematical model for complex neural networks is presented by the partly diffusive FitzHugh-Nagumo equations with ensemble boundary coupling. We analyze the dis…
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…
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…