论文标题

边界耦合Fitzhugh-Nagumo神经网络的动力和同步

Dynamics and Synchronization of Boundary Coupled FitzHugh-Nagumo Neural Networks

论文作者

Skrzypek, Leslaw, You, Yuncheng

论文摘要

在这项工作中,与集合边界耦合的部分扩散的Fitzhugh-Nagumo方程式为复杂的神经网络提供了新的数学模型。我们分析了解决方案半流的耗散动力学和边界耦合动力学,并具有尖锐的估计值。在突触刺激信号强度达到定量表达的阈值的条件下证明了这种复杂神经网络的指数同步。

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 dissipative dynamics and boundary coupling dynamics of the solution semiflow with sharp estimates. The exponential synchronization of this kind complex neural networks is proved under the condition that synaptic stimulation signal strength reaches a threshold quantitatively expressed.

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