Analysis of a new three-dimensional chaotic system

• DOI: 10.1007/s11071-011-9981-x
• Publication Date: 2011-03-01T19:20:58Z
• Authors: Xuebing Zhang; Honglan Zhu; Hongxing Yao
• Keywords: Phase portrait; Autonomous system (mathematics)

In this paper, a new three-dimensional autonomous chaotic system is presented. There are three control parameters and three different nonlinear terms in the governed equations. Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. The nonlinear characteristic of the new three-dimensional autonomous system versus the control parameters is illustrated by bifurcation diagram, Lyapunov-exponent spectrum, phase portraits, etc.