| 基于混沌检测弱信号的混沌特性判别方法的研究 |
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| 引用本文： | 聂春燕,石要武.基于混沌检测弱信号的混沌特性判别方法的研究[J].计量学报,2000,21(4):308-313. |
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| 作者姓名： | 聂春燕 石要武 |
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| 作者单位： | [1]长春大学电子工程学院,长春 [2]吉林工业大学信息学院,长春 |
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| 基金项目： | 国家自然科学基金!(6 9872 0 12 ) |
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| 摘 要： | 本分析了基于混沌检测弱信号的原理，提出了目前对混沌现象的判别问题，并利用梅尔尼科夫方法确定了混沌系统出现混沌时参数应满足的条件，给出了判据。研究表明，当阻尼比、待检周期信号幅值及策动力频率之间满足一定关系时，混沌系统将进入混沌状态。
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| 关 键 词： | Dufing方程 混沌 梅尔尼科夫方法 弱信号检测 |
Research of Identifying Chaotic Nature Based on Chaos to Detecting Weak Signal |
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| NIE Chun yan ,SHI Yao wu.Research of Identifying Chaotic Nature Based on Chaos to Detecting Weak Signal[J].Acta Metrologica Sinica,2000,21(4):308-313. |
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| Authors: | NIE Chun yan SHI Yao wu |
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| Affiliation: | NIE Chun yan 1,SHI Yao wu 2 |
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| Abstract: | In this paper, the basic principle of weak signal detection based on chaos is analyzed, some questions about determinant of chaotic nature are proposed. The Melnikov method is used to determine the condition which should be satisfied when the chaotic phenomenon appears in the chaos system. Additionally, the threshold value is given. The research shows that the chaos system will enter into chaotic states when damping ratio, detected periodic signal amplitude and forced frequency satisfy definite relation. |
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| Keywords: | Duffing equation Chaos Melnicov method Criterion |
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