arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.09988math.AP
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具有边界耦合的复杂神经网络的动力学与同步

Dynamics and Synchronization of Complex Neural Networks with Boundary Coupling

Chi Phan, Leslaw Skrzypek, Yuncheng You

摘要:

提出了一种新的边界耦合部分扩散Hindmasrh-Rose方程复杂神经网络的数学模型。通过对溶液半流的吸收动力学分析,证明了在系综边界耦合的刺激信号强度超过由生物参数表示的定量阈值的条件下,复杂神经元网络以均匀指数速率渐近同步.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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