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Zbl 1198.34139
Li, Chun-Hsien; Yang, Suh-Yuh
Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays. (English)
[J] Chaos Solitons Fractals 41, No. 3, 1235-1244 (2009). ISSN 0960-0779

Summary: We investigate the existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with connection time delays for both discrete and distributed cases. By combining the Lyapunov functional method with the contraction mapping principle, we establish several criteria for the existence and global exponential stability of periodic solutions. More interestingly, all the criteria are independent of time delays as well as the delay types, and do not include one another. Several examples with numerical simulations are given to demonstrate the results. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC 2000:: *34K13 Periodic solutions of functional differential equations
34D23 Global stability
92B20 General theory of neural networks

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