Extracting Multidimensional Phase Space Topology from Periodic Orbits

Details Extracting Multidimensional Phase Space Topology from Periodic Orbits Extracting Multidimensional Phase Space Topology from Periodic Orbits

2006-07-27

arxiv.org/abs/nlin/0607060v1

Phys. Rev. Lett. 97, 104101 (2006)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.104101

We establish a hierarchical ordering of periodic orbits in a strongly coupled
multidimensional Hamiltonian system. Phase space structures can be
reconstructed quantitatively from the knowledge of periodic orbits alone. We
illustrate our findings for the hydrogen atom in crossed electric and magnetic
fields.

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