In a Hamiltonian model of a particle around a rotating triaxial ellipsoid, the 1:3 Lindblad resonance shows no bifurcations for eccentricities up to 0.5 in two test cases, supporting its preferential selection.
Proof of a Theorem of A. N. KOLMOGOROV on the Invari- ance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian
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Stability and bifurcations of resonances in ring's dynamics
In a Hamiltonian model of a particle around a rotating triaxial ellipsoid, the 1:3 Lindblad resonance shows no bifurcations for eccentricities up to 0.5 in two test cases, supporting its preferential selection.