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.

中文翻译：

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边界耦合Hindmarsh-Rose神经元网络的同步

在这项工作中，我们提出了一种由部分扩散的Hindmarsh-Rose方程描述的边界耦合神经元网络的新数学模型。我们证明了溶液半流的全局吸收特性，然后证明了该神经元网络以均匀指数速率渐近同步的主要结果，条件是边界耦合强度和刺激信号在参数方面超过了定量阈值。