Design and implementation of a new third order chaotic system

This paper designs a new three-dimensional chaotic system with a simple structure and only a nonlinear term, it contains three design parameters. We demonstrate the system is chaotic theoretically by the stability analysis of the equilibrium point, Lyapunov index calculation, and bifurcation phenomenon of the system when design parameter changes. Finally, numerical simulation shows that a typical chaotic attractor happens in this system by using MATLAB software, and the period-doubling bifurcation phenomenon is observed according to the bifurcation diagram. The simulation results prove that the system possesses the characteristics of chaos.