时滞忆阻Cohen-Grossberg神经网络周期解的存在性  

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

作　　者：王有刚[1] 武怀勤[2] 

机构地区：[1]吕梁学院数学系,山西吕梁033001 [2]燕山大学理学院,河北秦皇岛066004

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

基　　金：国家自然科学基金资助项目(71071133)

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 COHEN-GROSSBERG神经网络 周期解 时变时滞 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]