Research on Characteristics of Chaotic Motion Based on the Wavelet Ridge

被引:1
作者
Li, He [1 ]
Wen, Jidan [1 ]
Zhang, Jie [1 ]
Wen, Bangchun [1 ]
机构
[1] State Key Lab Mech Syst & Vibrat, Shanghai 220240, Peoples R China
来源
MECHATRONICS AND INFORMATION TECHNOLOGY, PTS 1 AND 2 | 2012年 / 2-3卷
关键词
Wavelet ridges; wavelet transform; chaos; Crazy Climber algorithm;
D O I
10.4028/www.scientific.net/AEF.2-3.765
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The wavelet ridge method to analyze chaos is described, and the wavelet ridge method is applied to analysis of the nonlinear vibration of blooming mill which exists chaos. The results show that the wavelet ridge can tell the periodic motion, quasi-periodic motion or chaotic motion by analysising the time history of one component of the system state variables. Compared to the other researching methods, such as the Poincare sections or the phase diagram, we can find the wavelet ridge is more suitable to high dimensional chaotic systems and the clutter of instantaneous frequency which is represented by the wavelet ridge can distinguish between strong and week chaos motion. And it can provide more accurate partial details and features of chaotic motion.
引用
收藏
页码:765 / 768
页数:4
相关论文
共 5 条
[1]   Instantaneous indicators of structural behaviour based on the continuous Cauchy wavelet analysis [J].
Argoul, Pierre ;
Le, Thien-Phu .
Mechanical Systems and Signal Processing, 2003, 17 (01) :243-250
[2]   Time-frequency analysis of chaotic systems [J].
Chandre, C ;
Wiggins, S ;
Uzer, T .
PHYSICA D-NONLINEAR PHENOMENA, 2003, 181 (3-4) :171-196
[3]  
Chen Y., 1998, BIFURCATION CHAOS EN, V1
[4]  
Chen zhang-wei, 1997, J VIBRATION ENG, V14, P203
[5]   Bifurcations and chaos in a system with impacts [J].
Luo, GW ;
Xie, JH .
PHYSICA D, 2001, 148 (3-4) :183-200