03-387 Heinz Hanßmann

Hamiltonian Torus Bifurcations Related to Simple Singularities (166K, PostScript, gzipped and uuencoded) Aug 26, 03

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Abstract. Lower dimensional $n$-tori in integrable and nearly integrable Hamiltonian systems with $n+1$ degrees of freedom are considered. The one-degree-of-freedom dynamics normal to the invariant tori is governed by (the singularities of) a family of planar Hamiltonian functions. The ensuing bifurcation scenarios are shown to survive both integrable and non-integrable perturbations.

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