Classical measure of regularity freg(B)

‹‹‹ Energy ››› -0.2 -0.15 -0.12 -0.1 -0.09 -0.08 -0.07 -0.06 -0.05 -0.04 -0.03 -0.02 -0.01 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.15 0.2 0.25 0.5     All sections at one B All sections at one E All freg(B) in one graph

Figure 1: freg (B, E=0.1) Figure 2: Section of regularity Calculated using the sections of regularity (see Figure 2). Poincaré section y=0 calculated on a 100 x 100 grid. A trajectory is started at each point of the grid and the SALI method is used to distinguish regular (blue colour) from chaotic (red colour) trajectories.