Extracting Multidimensional Phase Space Topology from Periodic Orbits

Stephan Gekle, Jörg Main, Thomas Bartsch, and T. Uzer
Phys. Rev. Lett. 97, 104101 – Published 5 September 2006

Abstract

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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  • Received 4 January 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.104101

©2006 American Physical Society

Authors & Affiliations

Stephan Gekle1, Jörg Main1, Thomas Bartsch2, and T. Uzer2

  • 1Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany
  • 2Center for Nonlinear Science, Georgia Institute of Technology, Atlanta, Georgia 30332-0430, USA

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Issue

Vol. 97, Iss. 10 — 8 September 2006

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