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Fig. 1

image

Phase space of a resonance of order q in the simplified pendulum-like approximation (Hamiltonian (1)). θ is the unique resonant angle and ϵ its conjugated action. The separatrix is highlighted in red. The amplitude A (defined with θmax see Eq. (12)) is 0 at the center of the resonance (elliptical fixed point) and 1 at the separatrix.

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