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
a College of Communication Engineering, Jilin University, Changchun 130012, China; b College of Geo-Exploration Sciences and Technology, Jilin University, Changchun 130026, China
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.
Received: 31 December 2002
Revised: 04 April 2003
Accepted manuscript online:
Fund: Project supported by the Foundation for Development of Science and Technology of JiLin Province, China (Grant No 20020626).
Cite this article:
Li Yue (李月), Yang Bao-Jun (杨宝俊), Du Li-Zhi (杜立志), Yuan Ye (袁野) The bifurcation threshold value of the chaos detection system for a weak signal 2003 Chinese Physics 12 714
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