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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (6): 593-599.

• 论文 • 上一篇    

APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY

郑吉兵1, 高行山2, 郭银朝2   

  1. 1. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China;
    2. Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China
  • 收稿日期:1996-10-28 修回日期:1997-12-29 出版日期:1998-06-18 发布日期:1998-06-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY

Zheng Jibing1, Gao Hangshan2, Guo Yinchao2   

  1. 1. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China;
    2. Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China
  • Received:1996-10-28 Revised:1997-12-29 Online:1998-06-18 Published:1998-06-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

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摘要： The response of a nonlinear vibration system may be of three types, namely,periodic, quasiperiodic or chaotic. when foe parameters of foe system are changed. The periodic motions can be identified by Poincarb map, and harmonic wavelet transform(HAT) can distinguish quasiperiod from chaos, so the existing domains of differenttypes of motions of the system can be revealed in the parametric space with themethod of HWT joining with Poincare map.

关键词: wavelet transform, nonlinear vibration, bifurcation chaos

Abstract: The response of a nonlinear vibration system may be of three types, namely,periodic, quasiperiodic or chaotic. when foe parameters of foe system are changed. The periodic motions can be identified by Poincarb map, and harmonic wavelet transform(HAT) can distinguish quasiperiod from chaos, so the existing domains of differenttypes of motions of the system can be revealed in the parametric space with themethod of HWT joining with Poincare map.

Key words: wavelet transform, nonlinear vibration, bifurcation chaos

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