| 紧邻激光器第二阈值的Lorenz映像混沌行为的“准不变量V”分析 |
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| 引用本文： | 宋立平,郭奇志,谭维翰. 紧邻激光器第二阈值的Lorenz映像混沌行为的“准不变量V”分析[J]. 物理学报, 2004, 53(1): 119-124 |
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| 作者姓名： | 宋立平 郭奇志 谭维翰 |
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| 作者单位： | (1)上海大学物理系,上海 200436; (2)上海大学物理系,上海 200437; (3)上海大学物理系,上海 200438 |
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| 基金项目： | 上海市教委重点学科资助的课题. |
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| 摘 要： | 为研究激光单模振荡的Lorenz映像在紧邻第二阈值的混沌行为，提出“准不变量V”的分析方法，明确示出初值V0与进入混沌时间tc的密切关系，即V0tc是仅依赖于激光系统参量σ,b,r的常数C0, 从理论分析和实验证明了这一结果.关键词：激光的第二阈值Lorenz映像准不变量V
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| 关 键 词： | 激光的第二阈值 Lorenz映像 准不变量V |
| 文章编号： | 1000-3290/2004/53(01)/0119-06 |
| 收稿时间： | 2003-01-24 |
| 修稿时间： | 2003-05-08 |
"The quasi invariant V" analysis for the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser |
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| Song Li-Ping,Guo Qi-Zhi and Tan Wei-Han. "The quasi invariant V" analysis for the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser[J]. Acta Physica Sinica, 2004, 53(1): 119-124 |
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| Authors: | Song Li-Ping Guo Qi-Zhi Tan Wei-Han |
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| Abstract: | In order to study the laser oscillation instability, in this paper we present the “quasi invariant V” method for analysis of the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser, and demonstrate the relation between initial value V0 and the time tc for the occurrence of chaos, i.e. V0tc equals a constant C0 depending on the parameter σ,b,r of the system. |
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| Keywords: | the second threshold of laser Lorenz map quasi invariant V |
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