The Study on the Chaotic Motion of a Nonlinear Dynamic System

Han Qiang; Zhang Shanyuan; Yang Guitong

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Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.

Citation:

Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.

Citation:

Han Qiang, Zhang Shanyuan, Yang Guitong. The Study on the Chaotic Motion of a Nonlinear Dynamic System[J]. Applied Mathematics and Mechanics, 1999, 20(8): 776-782.

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The Study on the Chaotic Motion of a Nonlinear Dynamic System

1.
Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou 510641, P. R. China;
2.
Taiyuan University of Technology, Taiyuan 030024, P. R. China

Received Date: 1997-08-13
Rev Recd Date: 1999-01-27
Publish Date: 1999-08-15

Abstract

Abstract

In this paper the system of the forced vibration -λ₁T+λ₂T²+λ₃T³=ε(gcosωt-ε'T) is discussed, which contains square and cubic items. The critical condition that the systementers chaotic states is given by the Melnikov method. By Poincarmap, phase portrait and time-displacement history diagram, whether the chaos occurs is determined.
- chaos,
- Melnikov method,
- Poincar map,
- phase portrait,
- time-displacement diagram

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References(5)

References

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