| 取样鉴相数字合成器环中的混沌动力学行为 |
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| 引用本文： | 谭永明,邓立虎. 取样鉴相数字合成器环中的混沌动力学行为[J]. 通信学报, 2006, 27(4): 49-53 |
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| 作者姓名： | 谭永明 邓立虎 |
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| 作者单位： | 1. 东莞理工学院,电子工程系,广东,东莞,523106
2. 东莞理工学院,应用数学研究所,广东,东莞,523106 |
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| 摘 要： | 分析和研究取样鉴相数字合成器环中的混沌动力学行为,根据Ushio与Hira等人的方法,从理论上证明了当系统参数满足一定条件时,系统会出现分岔现象,并具体计算出系统在各个不动点处的Hopf分岔集、系统的李雅普诺夫指数以及豪斯道夫维数。通过对系统进行计算机模拟,观察到系统的奇异吸引子,奇异吸引子的自相似性,系统在混沌状态下对初始条件的灵敏依赖性,进一步证实了三角形取样鉴相数字合成器环中存在混沌现象。
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| 关 键 词： | 数字合成器环 Hopf分岔集 混沌 奇异吸引子 自相似性 |
| 文章编号： | 1000-436X（2006）04-0049-05 |
| 收稿时间： | 2004-10-08 |
| 修稿时间： | 2006-01-08 |
Chaotic dynamics behave from sampling phase-detector digital synthesizer loop |
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| TAN Yong-ming,DENG Li-hu. Chaotic dynamics behave from sampling phase-detector digital synthesizer loop[J]. Journal on Communications, 2006, 27(4): 49-53 |
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| Authors: | TAN Yong-ming DENG Li-hu |
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| Affiliation: | 1. Department of Electron Engineering, Dongguan Uninversity of Technology, Dongguan 523106, China; 2. Research Center of Appl. Math., Dongguan University of Technology, Dongguan 523106, China |
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| Abstract: | Chaotic dynamics behave from sampling phase-detector digital synthesizer loop was analyzed and studied. Based on the method of Ushio and Hiral etc, it was theoretically proved that the system had a bifurcation output when certain condition of the system parameters was satisfied. Hopf bifurcation set of every fixed-point of the system was particularly calculated, and the Lyapunov numbers and Hausdorf dimension of the system were calculated. By simu-lating with computer, the strange attractors, and self-likelihood, and sensitivity of the system rely on its first condition in chaos is observed. The existence of chaos phenomena in sampling phase-detector digital synthesizer loop is further verified. |
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| Keywords: | digital synthesizer loop Hopf bifurcation chaos strange attractors self-likelihood |
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