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单模激光Lorenz混沌行为的"准不变量V"分析
引用本文:刘凤娟,郭奇志,谭维翰. 单模激光Lorenz混沌行为的"准不变量V"分析[J]. 上海大学学报(自然科学版), 2006, 12(1): 61-65
作者姓名:刘凤娟  郭奇志  谭维翰
作者单位:上海大学,理学院,上海,200444
摘    要:在单模激光的Lorenz混沌行为在第二阈值处存在“准不变量V”的基础上,用理论分析与数值实验的方法,得出即使不在第二阈值处,同样存在“准不变量V”,且可用来判断系统何时进入混沌状态.

关 键 词:Lorenz方程  混沌  准不变量V
文章编号:1007-2860(2006)01-0061-05
收稿时间:2004-12-31
修稿时间:2004-12-31

Quasi Invariant V for Chaotic Behavior of Lorenz Map of Single Mode Laser
LIU Feng-juan,GUO Qi-zhi,TAN Wei-han. Quasi Invariant V for Chaotic Behavior of Lorenz Map of Single Mode Laser[J]. Journal of Shanghai University(Natural Science), 2006, 12(1): 61-65
Authors:LIU Feng-juan  GUO Qi-zhi  TAN Wei-han
Affiliation:School of Sciences, Shanghai University, Shanghai 200444, China
Abstract:Theoretical analysis and numerical experimentation are carried out based on the existence of quasi invariant V at the second threshold for single mode laser's chaotic behavior of a Lorenz's system.It is concluded that the quasi invariant V does exist,and is not restricted to the second threshold.This can be used to judge when the system enters a chaotic state.
Keywords:Lorenz map  chaos  quasi invariant V
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