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Fig. 10

Toda lattice: (top) (y,v) Poincaré section at (x = 0, u > 0) and E = 1/12 and analytical tori (continuous lines) with a 14th order polynomial. (Bottom) (y,v) Poincaré section at (x = 0, u > 0) and E = 1 for a few orbits (dotted red circles) and analytical tori (continuous dark lines) with a 16th order polynomial.
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