APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY

Authors
ZHENG JB GAO HS GUO YC
Citation
Jb. Zheng et al., APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY, Applied mathematics and mechanics, 19(6), 1998, pp. 593-599
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Applied mathematics and mechanics → ACNP
ISSN journal
02534827
Volume
19
Issue
6
Year of publication
1998
Pages
593 - 599
Database
ISI
SICI code
0253-4827(1998)19:6<593:AOWTTB>2.0.ZU;2-5
Abstract
The response of a nonlinear vibration system may be of three types, na mely, periodic, quasiperiodic or chaotic,,when the parameters of the s ystem 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 t he system can be revealed in the parametric space with the method of H WT joining with Poincare map.