Periodic solution for nonautonomous cellular neural networks with impulses. (English) Zbl 1197.34063
Summary: We study existence, uniqueness and global stability of periodic solution (i.e., stationary oscillation) for general nonautonomous cellular neural networks with impulses. Some criteria are obtained for stationary oscillation of the nonautonomous cellular neural networks with impulses. It is derived by using a new method which is different from those of the previous literatures. Previous results are extended and improved. An illustrative example is given to demonstrate the effectiveness and less conservativeness of the obtained results.
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.
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:
| 34C25 | Periodic solutions to ordinary differential equations |
| 34A37 | Ordinary differential equations with impulses |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
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