A new method to determine the bifurcation threshold value of the Duffing chaos detection system

摘要

In the fields of chaos detection, it has become an important problem to confirm the bifurcation threshold value of the chaos detection system. It is directly related to the detection precision of the chaos system. In this paper, on the analysis of the relationship between bifurcation process and structure stability of the system, the Floquet exponents in periodic state is employed to determine the bifurcation threshold value and discussing the algorithm of Floquet exponents based on the theory of linear differential equation with periodic coefficients. The simulation experiments show this method is effective and the detection accuracy of the chaos detection system is improved compared with the traditional methods.