Chaotic Behavior of Forced Oscillator Containing a Square Nonlinear Term on Principal Resonance Curves

Pei Qin-yuan; Li Li

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(3): 217-223

Pei Qin-yuan, Li Li. Chaotic Behavior of Forced Oscillator Containing a Square Nonlinear Term on Principal Resonance Curves[J]. Applied Mathematics and Mechanics, 1995, 16(3): 217-223.

Citation:

Pei Qin-yuan, Li Li. Chaotic Behavior of Forced Oscillator Containing a Square Nonlinear Term on Principal Resonance Curves[J]. Applied Mathematics and Mechanics, 1995, 16(3): 217-223.

Citation:

Pei Qin-yuan, Li Li. Chaotic Behavior of Forced Oscillator Containing a Square Nonlinear Term on Principal Resonance Curves[J]. Applied Mathematics and Mechanics, 1995, 16(3): 217-223.

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Chaotic Behavior of Forced Oscillator Containing a Square Nonlinear Term on Principal Resonance Curves

Pei Qin-yuan¹,
Li Li²

1.
Changsha Railuay University, Changsha;
2.
Beijing Polytechnical University, Beijing 100022

Received Date: 1992-09-09
Rev Recd Date: 1994-10-06
Publish Date: 1995-03-15

Abstract

Abstract

Based on [1],we investigate the route to chaos in forced oscillator containing a square nonlinear term on principal resonance curves. And chaotic motion is observed against the background of classical resonance curves,stability limits and jump phenomena.It is shown that chaotic motion appears in the neighbourhood of the point both meeting condition that Melnikov function has simple zero and having the point of vertical tangent of the resonance curves.
- method of multiple scales,
- principal resonance curve,
- numericalsimulation,
- chaotic motion

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References(9)

References

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