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Existence and global convergence of periodic solution of delayed neural networks. (English) Zbl 1145.34366
Summary: This paper is concerned with the existence and global convergence of a periodic solution of delayed neural networks. Employing Schauder fixed point theorem, we obtain some novel sufficient conditions ensuring the existence as well as the global convergence of the periodic solution. Our results are new and improve some previously known results since these results are based on integral average values of the coefficients. The theoretical analysis is verified by numerical simulations.

MSC:
34K13 Periodic solutions to functional-differential equations
37N25 Dynamical systems in biology
Software:
dde23
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