Detection of Chaos Based on Wavelet Transforms
Nuaa Nanjing · Transaction of Nanjing University of Aeronautics and Astronautics · 1996
The method in which the wavelet transforms and fractal theories are applied to detect the chaotic signals with the additive observal noises is presented in the paper. Smoothingoperator is derived from wavelet transforms and used to process the chaotic time series. According to its character of no--scale interval in certain scales,a detective example of the noisy chaotic behavior produced by Lorenz attractor is provided by using the improved G--P algorithm tocalculate its fractal dimension. The result shows that the method introduced here expressesgood ability to chaos detection.