| 基于Lyapunov指数Duffing混沌检测系统状态的判定 |
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| 引用本文： | 刘道文,史先红. 基于Lyapunov指数Duffing混沌检测系统状态的判定[J]. 信阳师范学院学报(自然科学版), 2011, 24(2): 196-199. DOI: 10.3969/j.issn.1003-0972.2011.02.013 |
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| 作者姓名： | 刘道文 史先红 |
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| 作者单位： | 许昌学院教育技术与信息部,河南许昌,461000 |
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| 基金项目： | 河南省教育厅自然科学研究计划项目 |
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| 摘 要： | 为解决Duffing混沌检测系统状态判定的准确性,克服直观相图判定法存在的不足,提出了采用Lyapunov指数定量地判定Duffing混沌检测系统状态的方法.在分析判定方法及Duffing系统中Lyapunov指数算法的基础上,进行了系统仿真和数据分析,结果验证了利用Lyapunov指数判定Duffing系统状态的可行性,从而能有效地应用于微弱信号检测,保证信号检测的可靠性.
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| 关 键 词： | 混沌 Duffing振子 Lyapunov指数 系统状态 相图变化 |
The Judgment of the States of the Duffing Chaotic Detection System based on the Lyapunov Exponent |
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| LIU Dao-wen,SHI Xian-hong. The Judgment of the States of the Duffing Chaotic Detection System based on the Lyapunov Exponent[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2011, 24(2): 196-199. DOI: 10.3969/j.issn.1003-0972.2011.02.013 |
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| Authors: | LIU Dao-wen SHI Xian-hong |
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| Affiliation: | LIU Dao-wen,SHI Xian-hong(Educational Technology & Information Department,Xuchang University,Xuchang 461000,China) |
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| Abstract: | In order to solve the accuracy of the judgment of chaos detection system's states and to cast off defaults of the intuitive phase judgment method,this paper adopts the Lyapunov exponent to quantitatively judge states of the Duffing chaos detection system.Based on the analysis method and the algorithm of the Lyapunov exponent,we carried out the system simulation and data analysis.The result certifies the feasibility of using Lyapunov exponent to judge the states of the Duffing chaotic detection system,which ... |
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| Keywords: | chaos Duffing oscillator Lyapunov exponent system states phase change |
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