Estimating the bound for the generalized Lorenz system  

作　　者：郑宇 张晓丹 

机构地区：[1]Department of Mathematics and Mechanics,University of Science and Technology Beijing

出　　处：《Chinese Physics B》2010年第1期156-159,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 60674059);Research Fund of University of Science and Technology Beijing, China (Grant No. 00009010)

摘　　要：A chaotic system is bounded, and its trajectory is confined to a certain region which is called the chaotic attractor. No matter how unstable the interior of the system is, the trajectory never exceeds the chaotic attractor. In the present paper, the sphere bound of the generalized Lorenz system is given, based on the Lyapunov function and the Lagrange multiplier method. Furthermore, we show the actual parameters and perform numerical simulations.A chaotic system is bounded, and its trajectory is confined to a certain region which is called the chaotic attractor. No matter how unstable the interior of the system is, the trajectory never exceeds the chaotic attractor. In the present paper, the sphere bound of the generalized Lorenz system is given, based on the Lyapunov function and the Lagrange multiplier method. Furthermore, we show the actual parameters and perform numerical simulations.

关 键 词：CHAOS generalized Lorenz system Lyapunov function Lagrange multiplier method 

分 类 号：O415.5[理学—理论物理] TP13[理学—物理]