Orthogonal wavelet analysis of Lorenz system

The Lorenz system has been researched and analyzed by many people as a representative chaotic system. The structure of phase space and asymptotic quantities of Lorenz system have been researched these years. However, time-frequency analysis of Lorenz system has been done rarely. As an important time-frequency analysis tools, orthogonal wavelet transform (OWT) has an outstanding local feature in time-frequency domains. Wavelet analysis of Lorenz system is provided in this paper. After the analysis, we make a conclusion that the orthogonal WT operates on Lorenz signal like a whiten-filter, and we extract the harmonics from Lorenz background to prove the conclusion.