Strongly Resonant Bifurcations of Nonlinearly Coupled Van der Pol-Duffing Oscillator

Gan Chunbiao; Lu Qishao; Huang Kelei

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(1): 63-70

Gan Chunbiao, Lu Qishao, Huang Kelei. Strongly Resonant Bifurcations of Nonlinearly Coupled Van der Pol-Duffing Oscillator[J]. Applied Mathematics and Mechanics, 1999, 20(1): 63-70.

Citation:

Gan Chunbiao, Lu Qishao, Huang Kelei. Strongly Resonant Bifurcations of Nonlinearly Coupled Van der Pol-Duffing Oscillator[J]. Applied Mathematics and Mechanics, 1999, 20(1): 63-70.

Citation:

Gan Chunbiao, Lu Qishao, Huang Kelei. Strongly Resonant Bifurcations of Nonlinearly Coupled Van der Pol-Duffing Oscillator[J]. Applied Mathematics and Mechanics, 1999, 20(1): 63-70.

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Strongly Resonant Bifurcations of Nonlinearly Coupled Van der Pol-Duffing Oscillator

Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China

Received Date: 1997-03-26
Rev Recd Date: 1998-09-05
Publish Date: 1999-01-15

Abstract

Abstract

In this paper, the strongly resonant bifurcations of a nonlinear coupled Van der Pol-Duffing Oscillator by the classical multi-scale method are studied. It is shown that there exit periodic motions of a single oscillator,frequency-locking and quasi-periodic motions of two oscillators when the parameters vary. Meanwhile, some numerical results are given to test the theoretical ones.
- non-linearly coupling,
- multi-scale method,
- frequency-locking,
- quasi-periodic

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References(9)

References

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