Complex dynamics of a new three-dimensional chaotic system
ZHAO Hui1,2， LAI Qiang3
1.School of Electronic & Information， Nanchang Institute of Technology， Nanchang 330044；2.College of Communication and Electronic， Jiangxi Science & Technology Normal University， Nanchang， 330013；3.School of Electrical and Automation Engineering， East China Jiaotong University， Nanchang 330013
Abstract：This paper presents a new three-dimensional continuous chaotic system with cubic nonlinearity. The stability of equilibrium point of the system is analyzed. By using numerical simulations such as bifurcation diagram， Lyapunov exponent spectrum and phase portrait， the dynamical behaviors of the system are investigated. For different parameter values， the system performs mono-stability， mono-cycle and single chaotic state. For different parameter values and initial values， the system performs bi-stability， bi-periodicity and two chaotic attractors.
2017, Vol. 51 
