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Almost periodic attractor for Cohen-Grossberg neural networks with delay. (English) Zbl 1227.34029
Summary: In this Letter, almost periodic Cohen-Grossberg neural networks with delay is studied. By constructing appropriate linear auxiliary equations, sufficient conditions are given to guarantee the existence of almost periodic solution. Moreover, global exponential stability on almost periodic solution is investigated by Lyapunov method. At last, an example is given to show the effectiveness of results in this Letter.

MSC:
34B45 Boundary value problems on graphs and networks for ordinary differential equations
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
34K13 Periodic solutions to functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
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