Application of wavelet transform to bifuraation and chaos study |
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Authors: | Zheng Jibing Gao Hangshan Guo Yinchao |
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Affiliation: | (1) Department of Applied Mechanics and Engineering, Southwest Jiaotong University, 610031 Chengdu, PR China;(2) Institute of Vibration Engineering, Nothwestern Polytechnical University, 710072 Xi'an, PR China |
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Abstract: | The response of a nonlinear vibration system may be of three types, namely, periodic, quasiperiodic or chaotic, when the parameters of the system are changed. The periodic motions can be identified by Poincare map, and harmonic wavelet transform (HWT) can distinguish quasiperiod from chaos, so the existing domains of different types of motions of the system can be revealed in the parametric space with the method of HWT joining with Poincar'e map. Communicated Zhang Ruqing Project supported by the National Natural Science Foundation of China |
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Keywords: | wavelet transform nonlinear vibration bifurcation chaos |
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