Analysis of a New 3-D Chaotic System with a Self-Excited Attractor

A novel chaotic system of three-dimension smooth quadratic autonomous ordinary differential polynomial derived from the Chen system is proposed in this work. And it is capable of displaying complex four scroll strange attractors of chaos. And some basic properties of the newly presented three-dimensional chaotic system have been studied, and it is theoretically proved that the system is not differentiated from the current known systems. In addition, the complicated nonlinear dynamical behavior of the newly introduced system is investigated in detail by adopting the process of theoretical or numerical simulations of Lyapunov exponents, bifurcation diagrams, phase trajectories. Interestingly, the chaotic system can also generate two other types of attractors: a single scroll chaotic attractor and two scroll one, which illustrates that the topology is more complex than the Chen system in terms of topological structure.