2134/2719
Thomas Bartsch
Thomas
Bartsch
Stefan Gekle
Stefan
Gekle
Jorg Main
Jorg
Main
T. Uzer
T.
Uzer
Gluing torus families across a singularity: The lens space for the hydrogen atom in crossed fields
Loughborough University
2007
untagged
Mathematical Sciences not elsewhere classified
2007-02-28 12:32:02
Preprint
https://repository.lboro.ac.uk/articles/preprint/Gluing_torus_families_across_a_singularity_The_lens_space_for_the_hydrogen_atom_in_crossed_fields/9384344
We 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.