| Lyapunov特性指数用于混沌判据 |
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| 引用本文： | 张宾,李月,卢金. Lyapunov特性指数用于混沌判据[J]. 吉林大学学报(信息科学版), 2004, 22(2): 111-114 |
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| 作者姓名： | 张宾 李月 卢金 |
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| 作者单位： | 吉林大学,通信工程学院,吉林,长春,130012;吉林大学,通信工程学院,吉林,长春,130012;吉林大学,通信工程学院,吉林,长春,130012 |
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| 摘 要： | 针对系统动力学行为相变量上的判别依据问题,将Lyapunov特性指数作为混沌判据,引入微弱信号混沌检测领域.详细阐述了用于微弱谐波信号混沌检测系统的Lyapunov特性指数的计算方法,给出了Lyapunov特性指数与待测微弱谐波信号幅值间的关系曲线以及系统相变前后的Lyapunov特性指数的时间演化曲线.仿真实验证明了该算法的有效性,与Melnikov方法相比,以Lyapunov特性指数作为混沌判据具有计算简单、判别准确的优点.
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| 关 键 词： | Lyapunov特性指数 混沌判据 微弱信号混沌检测 |
| 文章编号： | 1671-5896(2004)02-0111-04 |
| 修稿时间： | 2003-07-20 |
Study of the Lyapunov characteristic exponents used as the criteria for chaos |
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| ZHANG Bin,LI Yue,LU Jin. Study of the Lyapunov characteristic exponents used as the criteria for chaos[J]. Journal of Jilin University:Information Sci Ed, 2004, 22(2): 111-114 |
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| Authors: | ZHANG Bin LI Yue LU Jin |
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| Abstract: | The LCEs(Lyapunov Characteristic Exponents) is employed in the field of chaotic detection for weak signal for the first time to the special dynamic system as the criteria for chaos. The method to compute the LCEs for the detection system of the weak harmonious signal based on chaos is presented. The relation curve of the LCEs, the amplitude of the weak harmonious signal to be detected and the curves of the time evolution of the LCEs for the cases of fore and aft the phase transition of the system are provided. Simulation results verify the validity of this algorithm and the advantages of LCEs as the criteria for chaos, namely simple calculation and accurate discrimination. |
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| Keywords: | Lyapunov characteristic exponents (LCEs) criteria for chaos chaotic detection for weak signal |
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