论文标题

与边界耦合的复杂神经网络的动力和同步

Dynamics and Synchronization of Complex Neural Networks with Boundary Coupling

论文作者

Phan, Chi, Skrzypek, Leslaw, You, Yuncheng

论文摘要

提出了一种具有边界耦合的部分扩散的Hindmasrh-Rose方程的复杂神经网络的新数学模型。通过分析溶液半流动的吸收动力学,在均匀指数速率的复合神经元网络的渐近同步可以在刺激整体边界耦合的刺激信号强度超过生物学参数表达的定量阈值的条件下证明。

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 the solution semiflow, the asymptotic synchronization of the complex neuronal networks at a uniform exponential rate is proved under the condition that stimulation signal strength of the ensemble boundary coupling exceeds a quantitative threshold expressed by the biological parameters.

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