›› 2016, Vol. 35 ›› Issue (4): 7-7.

• 著者文摘 • 上一篇    下一篇

周期驱动下保守椭圆摆系统的混沌运动

陈建宏;吴学勇;刘昊;董向成   

  1. 兰州城市学院培黎工程技术学院,甘肃兰州730070
  • 出版日期:2016-04-20 发布日期:2016-04-20

The chaotic behavior in a conservative elliptical pendulum system under periodic perturbation

  • Online:2016-04-20 Published:2016-04-20

摘要: 运用广义拉格朗日方程,对周期驱动下的椭圆摆运动过程建立了模型方程.利用数值方法求解该方程,研究了该系统在周期驱动作用下不变环面的变形、破裂以及产生混沌运动的过程.并且,利用最大李雅普诺夫指数研究了驱动频率及质量参数对其混沌运动的影响.

关键词: 周期驱动, 椭圆摆, 混沌运动

Abstract: The motion equations of an elliptical pendulum system under periodic perturbation are derived by using the generalized Lagrange equation. The equations are solved numerically to investigate the process of the deformation,distortion,split of the invariant torus and the chaos. Moreover,the influences of the perturbation frequency and the mass parameter on the chaotic behavior are discussed through analyzing the maximum Lyapunov exponent.

Key words: periodic perturbation, elliptical pendulum, chaotic behavior

中图分类号: 

  • O415.5