Existence and global exponential stability of periodic solution of a cellular neural networks difference equation with delays and impulses.
A class of cellular neural networks difference equation with delays and impulses are considered. Sufficient conditions for the existence and global exponential stability of periodic solution are obtained by using contraction mapping theorem and inequality techniques. The results of this paper are completely new. A numerical example and its simulations are offered to show the effectiveness of our new results.
Department of Mathematics, Honghe University, Mengzi, Yunnan, China. xinsongyang@163.com
Xinsong
X
Yang
Xiangzhao
X
Cui
Yao
Y
Long
D000818:Animals; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics; D010507:Periodicity; D013997:Time Factors