东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (3): 403-406.DOI: -

• 论著 • 上一篇    下一篇

混沌运动特征的小波脊识别

李鹤;闻季丹;张杰;闻邦椿;   

  1. 东北大学机械工程与自动化学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(10702014);;

Wavelet ridge determination of chaotic motion characteristics

Li, He (1); Wen, Ji-Dan (1); Zhang, Jie (1); Wen, Bang-Chun (1)   

  1. (1) School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Li, H.
  • About author:-
  • Supported by:
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摘要： 介绍了一种分析混沌运动的小波脊方法,并将小波脊方法用于分析存在混沌运动的初轧机非线性振动中.研究表明,小波脊方法只需对系统状态变量的某一分量的时间历程进行分析,就可以区分出系统的周期运动、拟周期运动或混沌运动.该方法与Poincaré截面图和相图等方法进行对比,可以发现小波脊线更适应高维混沌系统的研究,并且由小波脊线代表的瞬时频率的混乱程度可以把混沌运动分为强混沌运动和弱混沌运动,可以更准确地提供混沌运动的局部细节特征.

关键词: 小波脊, 小波变换, 混沌运动, CrazyClimber算法

Abstract: A wavelet ridge method to analyze chotic motion was described and applied to analysis of nonlinear vibration of a blooming mill having chaotic motion. The wavelet ridge distinguished periodic motion, quasi-periodic motion, or chaotic motion by analyzing the time history of one component of the system state variables. Compared to other methods, such as Poincare´ sections or phase diagrams, wavelet ridge was more suitable to high dimensional chaotic systems. In addition, the clutter of instantaneous frequency represented by the wavelet ridge can distinguish between strong and week chaotic motion. The wavelet ridge method also provided more accurate partial details and features of chaotic motion.

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