时滞忆阻Cohen-Grossberg神经网络周期解的存在性

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。

Existence of Periodic Solutions for Memristive Cohen-Grossberg Neural Networks with Delays

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 coincidence theorem in set-valued analysis, the existence of the periodic solution for the network system was proved.Finally, an illustrative 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.