Discrete Dynamics in Nature and Society
Volume 7 (2002), Issue 3, Pages 161-163
doi:10.1080/1026022021000001436
Some results on stability of difference systems
Xiao-Song Yang
and Ping Zhou
Institute for Nonlinear Systems, Chongqing University of Posts and Telecomm, Chongqing 400065, China
Abstract
This paper presents some new results on existence and stability of equilibrium or periodic points for difference systems. First sufficient conditions of existence of asymptotically stable equilibrium point as well as the asymptotic stability of given equilibrium point are given for second order or delay difference systems. Then some similar results on existence of asymptotically stable periodic (equilibrium) points to general difference systems are presented.