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Gluing torus families across a singularity: The lens space for the hydrogen atom in crossed fields
preprint
posted on 2007-02-28, 12:32 authored by Thomas BartschThomas Bartsch, Stefan Gekle, Jorg Main, T. UzerWe demonstrate that topological information that can be extracted from periodic orbits
in a near-integrable system can lead to a complete topological characterization of families
of invariant 2-tori in terms of lens spaces. This approach ties in with the techniques we
developed for classifying the tori in systems with more than two degrees of freedom. It
therefore offers a general way to investigate families of invariant 2-tori in higher-dimensional
Hamiltonian systems.
History
School
- Science
Department
- Mathematical Sciences
Pages
279352 bytesPublication date
2007Notes
This is a pre-print.Language
- en