An Impulsive Multidirectional Associative Memory Neural Network (IMAMNN) with time-varying and leakage delays is proposed. Through the use of a continuation theorem of coincidence degree theory and differential inequality techniques we establish new conditions for the existence and exponential stability of anti-periodic solutions for the model considered in this work. Moreover, two examples and its numerical simulations are presented to show the validity and the effectiveness of the results.

中文翻译：

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脉冲多向联想记忆神经网络：新结果

提出了一种具有时变和泄漏延迟的脉冲多向关联记忆神经网络（IMAMNN）。通过使用重合度理论的连续定理和微分不等式技术，我们为本文所考虑的模型的反周期解的存在和指数稳定性建立了新的条件。此外，给出了两个例子及其数值模拟，以证明结果的有效性和有效性。