Analysis of a new three-dimensional chaotic system

作者：Zhang, Xuebing^*; Zhu, Honglan; Yao, Hongxing

来源：Nonlinear Dynamics, 2012, 67(1): 335-343.

DOI：10.1007/s11071-011-9981-x

• New chaotic system
• Lyapunov-exponent spectrum
• Bifurcation
• Phase portraits

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.

• 出版日期2012-1
• 单位淮阴工学院; 江苏大学