时滞忆阻Cohen-Grossberg神经网络周期解的存在性

摘要

研究了一类具有时变时滞的忆阻Cohen-Grossberg神经网络的周期动力行为.借助M-矩阵理论,微分包含理论和Mawhin-like收敛定理,证明了网络系统周期解的存在性.最后,用一个数值算例验证了本文结论的正确性和可行性,并通过图形模拟直观地描述了周期解和平衡点的存在性.%The objective of this paper is to investigate the periodic dynamical behaviors for a class of Memristive Cohen-Grossberg neural networks with time-varying delays. By employing M-matrix theory, differential inclusions theory and the Mawhin-like coin-cidence theorem in set-valued analysis, the existence of the periodic solution for the network system was proved. Finally, an illustra-tive example was given to demonstrate the validity of the theoretical results and the existence of periodic solution and equilibrium point was described visually by graphical simulation.