中国物理B ›› 2003, Vol. 12 ›› Issue (7): 714-720.doi: 10.1088/1009-1963/12/7/304

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The bifurcation threshold value of the chaos detection system for a weak signal

李月1, 杜立志1, 袁野1, 杨宝俊2   

  1. (1)College of Communication Engineering, Jilin University, Changchun 130012, China; (2)College of Geo-Exploration Sciences and Technology, Jilin University, Changchun 130026, China
  • 收稿日期:2002-12-31 修回日期:2003-04-04 出版日期:2003-07-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the Foundation for Development of Science and Technology of JiLin Province, China (Grant No 20020626).

The bifurcation threshold value of the chaos detection system for a weak signal

Li Yue (李月)a, Yang Bao-Jun (杨宝俊)b, Du Li-Zhi (杜立志)a, Yuan Ye (袁野)a   

  1. a College of Communication Engineering, Jilin University, Changchun 130012, China; b College of Geo-Exploration Sciences and Technology, Jilin University, Changchun 130026, China
  • Received:2002-12-31 Revised:2003-04-04 Online:2003-07-16 Published:2005-03-16
  • Supported by:
    Project supported by the Foundation for Development of Science and Technology of JiLin Province, China (Grant No 20020626).

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摘要： Recently, it has become an important problem to confirm the bifurcation threshold value of a chaos detection system for a weak signal in the fields of chaos detection. It is directly related to whether the results of chaos detection are correct or not. In this paper, the discrimination system for the dynamic behaviour of a chaos detection system for a weak signal is established by using the theory of linear differential equation with periodic coefficients and computing the Lyapunov exponents of the chaos detection system; and then, the movement state of the chaos detection system is defined. The simulation experiments show that this method can exactly confirm the bifurcation threshold value of the chaos detection system.

Abstract: Recently, it has become an important problem to confirm the bifurcation threshold value of a chaos detection system for a weak signal in the fields of chaos detection. It is directly related to whether the results of chaos detection are correct or not. In this paper, the discrimination system for the dynamic behaviour of a chaos detection system for a weak signal is established by using the theory of linear differential equation with periodic coefficients and computing the Lyapunov exponents of the chaos detection system; and then, the movement state of the chaos detection system is defined. The simulation experiments show that this method can exactly confirm the bifurcation threshold value of the chaos detection system.

Key words: chaos detection, bifurcation threshold value, weak signal, phase plane, Lyapunov exponent

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
02.30.Hq (Ordinary differential equations)