Figure A1.
Illustration of the computing of LDS with gait data. (A) Shows 3.5 s of the medio-lateral displacement of the center of pressure sampled at 50 Hz. The result of the average mutual information analysis was 18 samples (0.36 s), which defined the reconstruction delay J. The results of the false neighbor analysis revealed that the minimal embedding dimension should be 6. Therefore, five time-delayed copies of the original time series have been built, according to the Equation 2. (B) Displays the reconstructed attractor with J = 18 and m = 6. Only the first three dimensions are used to build a 3D projection of the 6D attractor. (C) Is a 2D magnification of the attractor. It shows the flow of the trajectories along which the maximal Lyapunov exponent will be computed. Two nearest neighbors (Equation A3) are shown, separated by the initial distance dj(0). Two downstream points are separated by the distance dj(i) (Equation A4).