Almost periodic models of impulsive Hopfield neural networks. (English) Zbl 1177.34058

Stamov, Gani Tr.

J. Math. Kyoto Univ. 49, No. 1, Article ID 3, 57-67 (2009).

Summary: The problems of existence and uniqueness of almost periodic solutions for impulsive Hopfield neural networks is considered. The impulses are at fixed moments of time. New sufficient conditions for the exponential stability of the unique almost periodic solution of such systems are given.

MSC:

34C27	Almost and pseudo-almost periodic solutions to ordinary differential equations
34A37	Ordinary differential equations with impulses
92B20	Neural networks for/in biological studies, artificial life and related topics
34D20	Stability of solutions to ordinary differential equations