摘要
在基于Duffing混沌振子微弱信号检测中,针对直观观察相图法和Melnikov法在判定系统状态上存在的不足,为提高检测系统状态判定的准确性和信号检测的可靠性,提出了利用Lyapunov指数定量地分析和判定系统的状态。在分析利用Lyapunov指数判定系统状态方法的基础上,结合Lyapunov指数算法,计算出Duffing系统的Lyapunov指数谱,分析了系统内置驱动信号幅值、Lyapunov指数及系统状态之间的关系,结果表明,Lyapunov指数能定量和准确地刻画系统的状态。
Intuitionistic observations of phase and Melnikov have defaults in the judgment of system states in the weak signal detection based on the Duffing chaos oscillator.In order to improve the accuracy of the judgment of the system states and reliability of signal detection,this paper proposed the method that use Lyapunov exponent to quantitatively judge and to analyze the states of the detection system.The Lyapunov exponent spectrum of the Duffing system was computed on the basis of states of the system judging by Lyapunov exponent;the author also analyzed the relationship among the amplitude of the inner drive signal,Lyapunov exponent and the system states.The results showed that Lyapunov exponent can quantitatively and accurately judge the states of the detection system.
出处
《河北工程大学学报（自然科学版）》
CAS
2010年第4期74-77,共4页
Journal of Hebei University of Engineering:Natural Science Edition
基金
河南省教育厅自然科学研究计划项目(2010A510011)
关键词
混沌
系统状态
相变
微弱信号
chaos
states of system
phase change
weak signal
