Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (3): 255-264.

• 论文 • 上一篇    下一篇

BIFURCATION ANALYSIS OF A DOUBLE PENDULUM WITH INTERNAL RESONANCE

毕勤胜, 陈予恕   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China
  • 收稿日期:1998-11-23 出版日期:2000-03-18 发布日期:2000-03-18
  • 基金资助:
    the National Natural Science Foundation of China (19990510)

BIFURCATION ANALYSIS OF A DOUBLE PENDULUM WITH INTERNAL RESONANCE

Bi Qinsheng, Chen Yushu   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China
  • Received:1998-11-23 Online:2000-03-18 Published:2000-03-18
  • Supported by:
    the National Natural Science Foundation of China (19990510)

摘要: By employing the normal form theory, the Hopf bifurcation and the transition boundary of an autonomous double pendulum with 1:1 internal resonance at the critical point is studied. The results are compared with numerical solutions. Further, by numerical methods, the road to chaos of a non-autonomous system is presented in the end.

Abstract: By employing the normal form theory, the Hopf bifurcation and the transition boundary of an autonomous double pendulum with 1:1 internal resonance at the critical point is studied. The results are compared with numerical solutions. Further, by numerical methods, the road to chaos of a non-autonomous system is presented in the end.

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