Heteroclinic Orbit and Subharmonic Bifurcations and Chaos of Nonlinear Oscillator

Zhang Wei; Huo Quan-zhong; Li Li

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(3): 199-208

Zhang Wei, Huo Quan-zhong, Li Li. Heteroclinic Orbit and Subharmonic Bifurcations and Chaos of Nonlinear Oscillator[J]. Applied Mathematics and Mechanics, 1992, 13(3): 199-208.

Citation:

Zhang Wei, Huo Quan-zhong, Li Li. Heteroclinic Orbit and Subharmonic Bifurcations and Chaos of Nonlinear Oscillator[J]. Applied Mathematics and Mechanics, 1992, 13(3): 199-208.

Citation:

Zhang Wei, Huo Quan-zhong, Li Li. Heteroclinic Orbit and Subharmonic Bifurcations and Chaos of Nonlinear Oscillator[J]. Applied Mathematics and Mechanics, 1992, 13(3): 199-208.

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Heteroclinic Orbit and Subharmonic Bifurcations and Chaos of Nonlinear Oscillator

1.
Tianjin University, Tianjin;
2.
Beijing Polytechnic University, Beijing

Received Date: 1991-01-21
Publish Date: 1992-03-15

Abstract

Abstract

Dynamical behavior of nonlinear oscillator under combined parametric and forcing excitation, which includes yon der Pol damping, is very complex. In this paper, Melnikov's method is used to study the heteroclinic orbit bifurcations, subharmonic bifurcations and chaos in this system. Smale horseshoes and chaotic motions can occur from odd subharmonic bifurcation of infinite order in this system-far various resonant cases finally the numerical computing method is used to study chaotic motions of this system. The results achieved reveal some new phenomena.
- heteroclinic orbit bifurcations,
- subharmonic bifurcations,
- chaotic motions,
- parametric excitation,
- Melnikov’s method

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References(13)

References

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