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Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays. (English) Zbl 1055.34135

The authors investigate a system of cellular neural networks with periodic coefficients and periodic delays, all of them with the same period \(\omega\). Using a topological degree argument, some sufficient conditions for the existence of at least one \(\omega\)-periodic solution of the system are found. Then, additional assumptions are imposed to guarantee that the periodic solution is unique and globally exponentially stable.
Reviewer: Eduardo Liz (Vigo)

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
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