Fractional Dynamics Representation in the Pseudo Phase Plane

Proceedings of the 10th Conference on Dynamical Systems Theory and Applications

This paper analyses the spectral of several robotic signals that are approximated by trendlines. The fractional or integer dynamics behavior is determined. For the pseudo phase plane reconstruction of each signal, the time delays are calculated through the fractal dimension, as an alternative to the mutual information that is often used. In order to obtain a smooth pseudo phase plane, the noisy signals are filtered through wavelets. The slopes of the trendlines spectra reveal a relationship with the fractal dimension of the pseudo phase plane and the corresponding time lag.