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.
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Communicated Zhang Ruqing
Project supported by the National Natural Science Foundation of China
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Jibing, Z., Hangshan, G. & Yinchao, G. Application of wavelet transform to bifuraation and chaos study. Appl Math Mech 19, 593–599 (1998). https://doi.org/10.1007/BF02453415
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DOI: https://doi.org/10.1007/BF02453415