Estimating the ultimate bound and positively invariant set for a generalized Lorenz system

被引：2
|
作者：
舒永录 [1 ]
张永浩 [1 ]
机构：
[1] College of Mathematics and Physics,Chongqing University
来源：
Journal of Chongqing University(English Edition) | 2008年 / 02期
关键词：
generalized Lorenz system; ultimate bound; positively invariant set; generalized Lyapunov function;
D O I：
暂无
中图分类号：
O175.14 [非线性常微分方程];
学科分类号：
070104 ;
摘要：
A generalized Lyapunov function was employed to investigate the ultimate bound and positively invariant set of a generalized Lorenz system.We derived an ellipsoidal estimate of the ultimate bound and positively invariant set for the generalized Lorenz system,for all the positive values of system parameters a,b,and c.Our results extend the related result of Li,et al.[Li DM,Lu JA,Wu XQ,et al.,Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system,Journal of Mathematical Analysis and Application,2006,323(2):844-653].
引用
收藏
页码：151 / 154
页数：4
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