Bifurcation Analysis of a Double Pendulum With Internal Resonance

Bi Qinsheng; Chen Yushu

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Bi Qinsheng, Chen Yushu. Bifurcation Analysis of a Double Pendulum With Internal Resonance[J]. Applied Mathematics and Mechanics, 2000, 21(3): 226-234.

Citation:

Bi Qinsheng, Chen Yushu. Bifurcation Analysis of a Double Pendulum With Internal Resonance[J]. Applied Mathematics and Mechanics, 2000, 21(3): 226-234.

Citation:

Bi Qinsheng, Chen Yushu. Bifurcation Analysis of a Double Pendulum With Internal Resonance[J]. Applied Mathematics and Mechanics, 2000, 21(3): 226-234.

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Bifurcation Analysis of a Double Pendulum With Internal Resonance

Department of Mechanics, Tianjin University, Tianjin 300072, P R China

Received Date: 1998-11-23
Publish Date: 2000-03-15

Abstract

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.
- internal resonance,
- Hopf bifurcation,
- transition boundary,
- chaos

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References(13)

References

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