Dynamic analysis of an autonomous chaotic system with cubic nonlinearity

This work constructs an autonomous chaotic system with cubic nonlinearity. Some fundamental dynamical properties, such as equilibrium point, phase portrait, Lyapunov exponent, Kaplan–Yorke dimension, and bifurcation of the new system are investigated numerically and theoretically. Analyses show that this autonomous system holds rich dynamics and exhibits periodic, multi-periodic and chaos behavior with single-scroll, double-scroll and four-scroll.