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物理学报. 2010, 59(1): 116-122.
doi: 10.7498/aps.59.116.
连续混沌调频信号的动力学设计与分析
- 收稿日期: 2009-02-24
- 修回日期: 2009-05-13
- 刊出日期: 2010-01-15
摘要: 提出了基于连续混沌时间尺度变换的连续混沌调频信号动力学设计理论，并以Colpitts电路为例给出了具体的实现模型.通过吸引子重构和Lyapunov指数分析，阐述了连续混沌调频信号的动力学特性.结果显示连续混沌调频信号的最大Lyapunov指数与混沌信号的最大Lyapunov指数相同；连续混沌调频信号的动力学设计实现方式简单且系统参数易于控制，同时信号形式与数学意义上的连续混沌调频信号保持一致.
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关键词:
- 连续混沌调频信号 /
- 动力学设计 /
- Lyapunov指数 /
- 动力学特性
English Abstract
Dynamical design and analysis of continuous chaos frequency modulation signal
- Received Date:
24 February 2009
- Accepted Date:
13 May 2009
- Published Online:
15 January 2010
Abstract: On the basis of continuous chaos time scaling, dynamical design principle of continuous chaos frequency modulation signal (CCFMS) is proposed. Subsequently, a detailed implementation by taking Colpitts circuit as the example is given. Dynamical characteristics of CCFMS are analyzed by reconstructing the attractor and computing the Lyapunov exponent. Results show that the maximum Lyapunov exponent of CCFMS is the same as that of chaotic signal. Dynamical design of CCFMS can be simply realized and its system parameters can be easily controlled, meanwhile the signal expression is consistent with the mathematical expression of CCFMS.
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