| 声光双稳态混沌特性的研究 |
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| 引用本文： | 杨华,赵振华,张胜海.声光双稳态混沌特性的研究[J].武汉大学学报(理学版),2012,58(3):193-197. |
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| 作者姓名： | 杨华 赵振华 张胜海 |
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| 作者单位： | 信息工程大学理学院,河南郑州,450001 |
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| 基金项目： | 基金项目:国家自然科学基金资助项目 |
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| 摘 要： | 对声光双稳态系统的稳定性进行了理论分析,用图解方式研究了不动点的稳定性,用数值求解的方法,确定了分岔点的具体位置,同时对系统经过倍周期分岔和阵法混沌途径产生混沌进行了分析.通过对系统状态随参数变化的分岔图和最大Lyapunov指数变化情况的比较分析发现本文的结果是自洽的.
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| 关 键 词： | 声光双稳态 混沌 图解方式 |
The Analysis for Chaotic Characteristics in Acousto-Optical Bistable Systems |
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| YANG Hua,ZHAO Zhenhua,ZHANG Shenghai.The Analysis for Chaotic Characteristics in Acousto-Optical Bistable Systems[J].JOurnal of Wuhan University:Natural Science Edition,2012,58(3):193-197. |
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| Authors: | YANG Hua ZHAO Zhenhua ZHANG Shenghai |
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| Institution: | (Institute of Science,Information Engineering University,Zhengzhou 450001,Henan,China) |
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| Abstract: | In this paper,the stability of the acousto-optical bistable system is analyzed in theory and the stability of the fixed points is researched by diagrammatized mode.By the method of numerical calculation,the concrete position of the bifurcation points is calculated and the reason for chaos generation is studied.Bifurcation diagram of the system state evolving with parameter and the largest Lyapunov exponent changing with parameter of the system all show that the analysis in theory is right. |
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| Keywords: | acousto-optical bistable system chaos diagrammatized mode |
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