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APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY

APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY
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摘要 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 Poincare map. 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 Poincare map.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第6期593-599,共7页 应用数学和力学(英文版)
关键词 wavelet transform nonlinear vibration bifurcation chaos wavelet transform nonlinear vibration bifurcation chaos
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