This article discusses the coexistence and dynamical behaviors of multiple equilibrium points (Eps) for fractional-order complex-valued memristive neural networks (FCVMNNs) with delays. First, based on the state space partition method, some sufficient conditions are proposed to guarantee that there are multiple Eps in one FCVMNN. Then, the Mittag-Leffler stability of those multiple Eps is proved by using the Lyapunov function. Simultaneously, the enlarged attraction basins are obtained to improve and extend the existing theoretical results in the previous literature. In addition, some existing stability results in the literature are special cases of a new result herein. Finally, two illustrative examples with computer simulations are presented to verify the effectiveness of theoretical analysis.

中文翻译：

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带延迟的分数阶复值忆阻神经网络的多重 Mittag-Leffler 稳定性


本文讨论具有延迟的分数阶复值忆阻神经网络 (FCVMNN) 的多个平衡点 (Eps) 的共存和动态行为。首先，基于状态空间划分方法，提出了保证一个 FCVMNN 中存在多个 Ep 的充分条件。然后，利用Lyapunov函数证明了多个Eps的Mittag-Leffler稳定性。同时，获得了扩大的吸引力盆地，以完善和扩展先前文献中的现有理论结果。此外，文献中一些现有的稳定性结果是本文新结果的特例。最后，给出了两个计算机模拟的说明性例子来验证理论分析的有效性。