重庆理工大学学报（自然科学版）2011，Vol.25Issue(2)：112-116,5.
一个类Lorenz系统的动力学分析
Dynamics Analysis of a Lorenz-like System
摘要
Abstract
A three-dimensional autonomous continuous Lorenz-like system proposed newly is studied in this paper. The equilibria of the system is obtained through the simple calculation, then the stability of equilibria is analyzed. Through the analysis of Hopf bifurcation of equilibria, the parameter condition of Hopf bifurcation is derived. Parameter conditions for the codimension-2 degenerate Hopf bifurcation are presented by analyzing the first Lyapunov coefficient of the above system. Bifurcation diagrams of the aforementioned system, which demonstrate the degenerate Hopf bifurcation, are obtained by numerical simulations with the aid of the computer. It is shown that the numerical results agree quite well with the analytical ones and it validates our theoretical analysis.关键词
Hopf分岔/退化Hopf分岔/第一Lyapunov系数/数值仿真Key words
Hopf bifurcation/ degenerate Hopf bifurcation/ first Lyapunov coefficient/numerical simulation分类
数理科学引用本文复制引用
李群宏,徐德贵..一个类Lorenz系统的动力学分析[J].重庆理工大学学报（自然科学版）,2011,25(2):112-116,5.基金项目
广西自然科学基金资助项目(2010GXNSFA01311O) （2010GXNSFA01311O）
广西青年科学基金资助项目(0832014) （0832014）
