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New results on exponential attractivity of multiple almost periodic solutions of cellular neural networks with time-varying delays. (English) Zbl 1205.34085

Summary: We present new results on multi-almost periodicity and attractivity of delayed cellular neural networks (DCNNs). Some criteria are derived for ensuring locally or globally exponential attractivity of multiple almost periodic solutions in designated regions. It is shown that \(N\)-dimensional DCNNs can have a coexistence of \(2N\) locally attractive almost periodic solutions. Furthermore, the obtained conclusions have a wider applicable range, improve and complement the existing ones. Finally, computer simulations are given to show the effectiveness of the theoretical results.

MSC:

34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
37N25 Dynamical systems in biology
92B20 Neural networks for/in biological studies, artificial life and related topics
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