Character Istics Recognition of Typical Fractional Order Dynamical Systems via Orthogonal Wavelet Packet Analysis Method

The orthogonal wavelet packet analysis is a method applied on dynamics recognition of fractional order system. Firstly, the signals band was split up into proper levels and the sub signals were gained, which correspond to each frequency band according to the average period of the time series. Then by analysis of sub frequency band power distribution in the signals total power, the chaos in the related signal can be easily identifed. Finally, by taking the controlled fractional order chen’s system as an illustration, the results obtained by this procedure agree with power spectrum method. So this new method can be used for dynamics recognition in fractional order systems.