Dynamical properties of a new six-term chaotic system

摘要

A new butterfly-shaped three-dimensional chaotic system with six terms is proposed, which includes four parameters to control its chaotic dynamics. Some dynamic behaviors, such as symmetry, equilibrium points, and Lyapunov exponent spectra, are theoretically and numerically discussed. The bifurcation diagrams of the system with respect to two parameters are analyzed. The new chaotic system will provide a new meaningful template for developing the useful chaos and controlling chaos.