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Existence and stability of periodic solution of impulsive neural systems with complex deviating arguments. (English) Zbl 1448.92029

Summary: This paper discusses a class of impulsive neural networks with the variable delay and complex deviating arguments. By using Mawhin’s continuation theorem of coincidence degree and the Halanay-type inequalities, several sufficient conditions for impulsive neural networks are established for the existence and globally exponential stability of periodic solutions, respectively. Furthermore, the obtained results are applied to some typical impulsive neural network systems as special cases, with a real-life example to show feasibility of our results.

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
34C25 Periodic solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
93D23 Exponential stability
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