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On the Destruction of Resonant Lagrangean Tori in Hamiltonian Systems
[chapter]
2013
Recent Trends in Dynamical Systems
Starting from Poincaré's fundamental problem of dynamics, we consider perturbations of integrable Hamiltonian systems in the neighbourhood of resonant Lagrangean (i.e. maximal) invariant tori with a single (internal) resonance. Applying KAM Theory and Singularity Theory we investigate how such a torus disintegrates when the action variables vary in the resonant surface. For open subsets of this surface the resulting lower dimensional tori are either hyperbolic or elliptic. For a better
doi:10.1007/978-3-0348-0451-6_13
fatcat:atwfyvillbc6darjm3hwllbbxi