Research on chaotic control of duffing system

This paper indicates the chaotic essence of Duffing system and qualitatively selects the range of the amplitude parameter and the frequency parameter when system is in the state of chaos, which can effectively control the system to the desired state of chaos by making the global bifurcation diagram, phase diagram and poincare sections and analyzing its movement behavior with periodic excitation force method. The results show that the optional parameter region and the band of chaos will be greater and wider, and the chaotic phenomenon will be more evident by increasing the components of the external excitation frequency which the system imposes.