作　　者： (王有刚）; (武怀勤）;

机构地区： 吕梁学院数学系,山西吕梁033001

出　　处： 《西华大学学报（自然科学版）》 2017年第5期22-30,35,共10页

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-ive 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.

关 键 词： 忆阻 神经网络 周期解 时变时滞