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arXiv · 1912.02961

Synchronization of Boundary Coupled Hindmarsh-Rose Neuron Network

Chi Phan·Yuncheng You
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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.

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Chi Phan, Yuncheng You. 2019-12-11. Synchronization of Boundary Coupled Hindmarsh-Rose Neuron Network. https://arxiv.org/abs/1912.02961

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