| APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY |
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| 作者姓名： | 郑吉兵 高行山 郭银朝 |
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| 作者单位： | Zheng Jibing(Department of Applied Mechanics and Engineering，Southwest Jiaotong University，Chengdu610031，P. R. China)Gao Hangshan ; Guo Yinchao (Institute of Vibration Engineering，Northwestern Polytechnical University，Xi'an 710072，P. R.China) |
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| 摘 要： | I.IntroductionThetypesofmotionforanonlinearvibrationsystemmaybeperiodic,quasiperiodicorchaotic.Foragivensetofparametersofthesystem,Poincarkmap,powerspectral,waveformandLyapunovexponentareusuallyutilizedtoseewhethertheresponseofthesystemischaoticornot,butitisdiftlculttodeterminepreciselytheexistingdomainsorattractingbasinsofdifferenttypesofmotionsinparametricspaceorinitialvaluespaceonlyfromgraphicsstudy,andcomputingLyapunovexponentistimeconsuming.Aswavelettransformcanreveallocalpropertyinboth…
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APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY |
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| Zheng Jibing.APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY[J].Applied Mathematics and Mechanics(English Edition),1998(6). |
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| Authors: | Zheng Jibing |
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| 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. |
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| Keywords: | wavelet transform nonlinear vibration bifurcation chaos##DI IntroductionThe types of motion for a nonlinear vibration system may be periodic quasiperiodic orchaotic For a given set of parameters of the system Poincark map power spectral |
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