Fig. A.1.

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Phase portraits of Eq. (10) for different values of Lz with constant H = H0. The trajectories are plotted on the (R, pR) plane, following the Poincaré cut at z = 0, and the value of pz obtained from (12), indicated at each point by the colormap. The red KAM torus belongs to the initial condition R0 = 0.67, pR0 = 129.79 (panel a).
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