Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 239787, 17 pages
doi:10.1155/2010/239787
Research Article

Periodic Solutions for a Numerical Discretization Neural Network

Chun Lu

School of Science, Qingdao Technological University, Qingdao 266520, China

Received 21 January 2010; Accepted 4 March 2010

Academic Editor: Guang Zhang

Copyright © 2010 Chun Lu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The existence and global exponential stability of periodic solutions for a class of numerical discretization neural networks are considered. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global exponential stability of periodic solutions are obtained. Numerical simulations are given to illustrate the results.