Existence and global convergence of periodic solution of delayed neural networks

Authors:
Zhaohui Yuan;Lifen Yuan
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China;College of Information Science, Hunan Normal University, Changsha, Hunan 410081, China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

Citing 10
Cited 1

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Abstract

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.