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Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses. (English) Zbl 1152.34343
Summary: In this paper, by using the contraction principle and Gronwall-Bellman’s inequality, some sufficient conditions are obtained for checking the existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks (SICNNs) with impulse. Our results are essentially new. It is the first time that the existence of almost periodic solutions for the impulsive neural networks are obtained.
MSC:
34C27Almost and pseudo-almost periodic solutions of ODE
34A37Differential equations with impulses
34D20Stability of ODE
37N25Dynamical systems in biology
82C32Neural nets (statistical mechanics)
92B20General theory of neural networks (mathematical biology)