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Periodic Solutions for High-Order Cohen-Grossberg-Type BAM Neural Networks with Time-Delays

机译:具有时滞的高阶Cohen-Grossberg型BAM神经网络的周期解

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In this paper, the existence and exponential stability is studied of periodic solutions for a class of high-order Cohen-Grossberg-type BAM neural networks with time-delays. By differential mean value theorem, integral mean value theorem and poincare mapping, several sufficient conditions guaranteeing the existence, uniqueness and exponential stability of periodic solutions for high-order Cohen-Grossberg-type BAM neural networks with time-delays are given. An illustrative examples are also given in the end to show the effectiveness of our results.
机译:本文研究了一类带时滞的高阶Cohen-Grossberg型BAM神经网络周期解的存在性和指数稳定性。通过微分均值定理,积分均值定理和庞加莱映射,给出了保证具有时滞的高阶Cohen-Grossberg型BAM神经网络周期解的存在性,唯一性和指数稳定性的几个充分条件。最后还给出了一个说明性的例子,以证明我们的结果的有效性。

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