This paper expounds the bifurcations of two-delayed fractional-order neural networks (FONNs) with multiple neurons. Leakage delay or communication delay is viewed as a bifurcation parameter, stability zones and bifurcation conditions with respect to them are commendably established, respectively. It declares that both leakage delay and communication delay immensely influence the stability and bifurcation of the developed FONNs. The explored FONNs illustrate superior stability performance if selecting a lesser leakage delay or communication delay, and Hopf bifurcation generates once they overstep their critical values. The verification of the feasibility of the developed analytic results is implemented via numerical experiments.

中文翻译：

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由于高阶分数神经网络的不同延迟导致的分岔

本文阐述了具有多个神经元的二延迟分数阶神经网络 (FONN) 的分岔。泄漏延迟或通信延迟被视为一个分叉参数，值得称道的是，它们分别建立了稳定区和分叉条件。它宣称泄漏延迟和通信延迟都极大地影响了已开发的 FONN 的稳定性和分叉。如果选择较小的泄漏延迟或通信延迟，所探索的 FONN 说明了卓越的稳定性性能，并且一旦超过其临界值，就会产生 Hopf 分岔。通过数值实验验证了所开发的分析结果的可行性。