Exponential periodic attractor of discrete-time BAM neural networks with transmission delays
Exponential periodic attractor of discrete-time BAM neural networks with transmission delays
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DOI：
10.1007/s10598-009-9035-0
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发表时间：
2009-07
影响因子：
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通讯作者：
Zhenkun Huang;S. Mohamad;Yonghui Xia
中科院分区：
文献类型：
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作者：
Zhenkun Huang;S. Mohamad;Yonghui Xia
本文研究具有周期系数和传输时滞的离散时间双向联想记忆(BAM)神经网络。利用矩阵测度、谱理论和压缩理论，得到了存在唯一指数周期吸引子的几个充分条件。最后，计算机模拟说明了唯一指数周期吸引子的动态行为。此外，还精确地给出了唯一指数周期吸引子。数值模拟结果与实验结果吻合较好。
In this paper, we investigate discrete-time bidirectional associative memory (BAM) neural networks with periodic coefficients and transmission delays. By using matrix measure, spectral theory, and contraction theory, some sufficient conditions are attained for the existence of a unique exponential periodic attractor. Finally, computer simulations illustrate the dynamic behavior of the unique exponential periodic attractor. Moreover, the unique exponential periodic attractor is also given precisely. The numerical simulation is performed to show our results.