Dynamical analysis for the compound structure of Chen´s system

Dynamical analysis and more detailed numerical analysis for understanding the compound structure of Chen´s attractor are proposed in this paper. Routes to chaos and bifurcation of the Chen´s system under a constant controller are demonstrated with numerical experiments. The systematic analysis method can also be applied to investigate chaotic attractor´s compound structure shared by some typical attractors such as the Lorenz attractor, modified Lorenz attractor, Lu attractor, and PWL Chen´s attractor, etc.