Advances in Difference Equations 
Volume 2006 (2006), Article ID 70461, 10 pages
doi:10.1155/ADE/2006/70461

Convergence and periodicity of solutions for a class of difference systems

Honghua Bin,1 Lihong Huang,2 and Guang Zhang3

 1School of Sciences, Jimei University, Xiamen, Fujian 361021, China
2College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China
3Department of Mathematics, Qingdao Institute of Architecture and Engineering, Qingdao, Shandong 266033, China
Received 16 January 2006; Revised 27 July 2006; Accepted 28 July 2006

Abstract

A class of difference systems of artificial neural network with two neurons is considered. Using iterative technique, the sufficient conditions for convergence and periodicity of solutions are obtained in several cases.