Orthogonal Wavelet Packet Analysis Based Chaos Recognition Method

Abstract

The chaotic motion characteristics are expounded by taking the Duffing equation system as an example. The frequency band segmentation ability and the frequency resolution of the orthogonal multiresolution analysis and the orthogonal wavelet packet analysis are compared. A new orthogonal wavelet packet analysis-based chaos recognition method for chaotic motion characteristics is put forward. The chaotic, random, and periodic motions are identified effectively by use of the subfrequency band energy distribution in the signal spectrum. The characteristic frequency of chaotic motion is thus extracted.