Anti-periodic solutions of Cohen-Grossberg shunting inhibitory cellular neural networks on time scales
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Authors
Changjin Xu
- Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, P. R. China.
Yicheng Pang
- School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, P. R. China.
Peiluan Li
- School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, P. R. China.
Abstract
In this paper, Cohen-Grossberg shunting inhibitory cellular neural networks(CGSICNNs) on time scales
are investigated. Some sufficient conditions which ensure the existence and global exponential stability of
anti-periodic solutions for a class of CGSICNNs on time scales are established. Numerical simulations are
carried out to illustrate the theoretical findings. The results obtained in this paper are of great significance
in designs and applications of globally stable anti-periodic Cohen-Grossberg shunting inhibitory cellular
neural networks.
Share and Cite
ISRP Style
Changjin Xu, Yicheng Pang, Peiluan Li, Anti-periodic solutions of Cohen-Grossberg shunting inhibitory cellular neural networks on time scales, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2376--2388
AMA Style
Xu Changjin, Pang Yicheng, Li Peiluan, Anti-periodic solutions of Cohen-Grossberg shunting inhibitory cellular neural networks on time scales. J. Nonlinear Sci. Appl. (2016); 9(5):2376--2388
Chicago/Turabian Style
Xu, Changjin, Pang, Yicheng, Li, Peiluan. "Anti-periodic solutions of Cohen-Grossberg shunting inhibitory cellular neural networks on time scales." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2376--2388
Keywords
- Cohen-Grossberg shunting inhibitory cellular neural networks
- anti-periodic solution
- exponential stability
- time scales.
MSC
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