Research on Characteristics of Chaotic Motion Based on the Wavelet Ridge

Abstract:

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 Poincaré 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.

• Periodical: Advanced Engineering Forum (Volumes 2-3)
• Pages: 765-768
• DOI: https://doi.org/10.4028/www.scientific.net/AEF.2-3.765
• Online since: December 2011
• Authors: He Li, Ji Dan Wen, Jie Zhang, Bang Chun Wen
• Keywords: Chaos, Crazy Climber Algorithm, Wavelet Ridges, Wavelet Transform (WT)

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