All Figures

	Figure 1: Orbital Classification for the Perfect Ellipsoid in the I2I3-plane, for a fixed value of the energy E = -0.3, de Zweeu (1985). Curves drawn in this plane are separatrices of different families of orbits.
Open with DEXTER


In the text

	Figure 2: Resonance structure of the Perfect Ellipsoid onto the I2I3-plane, for a particular value of the energy E = -0.3. The curves shown in this figure are the intersection of the energy surface and several resonant surfaces calculated from (17) for different resonant vectors m satisfying |m|=|m1|+|m2|+|m3| < 8 (see text).
Open with DEXTER


In the text

	Figure 3: The three different resonances  (1,-3,2),(1,-2,1) and (3,-1,-1) shown in the figure were extracted from Fig. 2 (see text).
Open with DEXTER


In the text

	Figure 4: The upper panel shows the resonances (1,-3,2) and (3,-1,-1) of Fig. 3 (reproduced in left panel), with their concomitant resonant and stochastic layers.
Open with DEXTER


In the text

	Figure 5: Schematic representation of the effect of a perturbation on the resonant structure of the Stäckel model (given in Fig. 2). All the resonances become layers of width  .
Open with DEXTER


In the text

	Figure 6: Geometric structure of the perturbed resonances shown in Fig. 5. The central curve, that corresponds to the exact resonance is a chain of 2D elliptical tori, while the borders of the resonance correspond to a chain of 2D hyperbolic tori.
Open with DEXTER


In the text