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arXiv · 1910.13864

A New Model of Coupled Hindmarsh-Rose Neurons

Chi Phan·Yuncheng You
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Abstract

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 result, the self-synchronization of the coupled neurons at a uniform rate is proved, which can be extended to complex neuronal networks.

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Chi Phan, Yuncheng You. 2019-10-29. A New Model of Coupled Hindmarsh-Rose Neurons. https://arxiv.org/abs/1910.13864

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