Limit Cycles near Stationary Points in the Lorenz System
YANG Shi-Pu, ZHU Ke-Qin, ZHOU Xiao-Zhou
Department of Engineering Mechanics, Tsinghua University, Beijing 100084
Limit Cycles near Stationary Points in the Lorenz System
YANG Shi-Pu;ZHU Ke-Qin;ZHOU Xiao-Zhou
Department of Engineering Mechanics, Tsinghua University, Beijing 100084
关键词 ：
05.45.Jn ,
05.45.Pq
Abstract ： The limit cycles in the Lorenz system near the stationary points are analysed numerically. A plane in phase space of the linear Lorenz system is used to locate suitable initial points of trajectories near the limit cycles. The numerical results show a stable and an unstable limit cycle near the stationary point. The stable limit cycle is smaller than the unstable one and has not been previously reported in the literature. In addition, all the limit cycles in the Lorenz system are theoretically proven not to be planar.
Key words ：
05.45.Jn
05.45.Pq
出版日期: 2005-11-01
:
05.45.Jn
(High-dimensional chaos)
05.45.Pq
(Numerical simulations of chaotic systems)
引用本文:
YANG Shi-Pu;ZHU Ke-Qin;ZHOU Xiao-Zhou. Limit Cycles near Stationary Points in the Lorenz System[J]. 中国物理快报, 2005, 22(11): 2780-2783.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2005/V22/I11/2780
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