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Extracting Multidimensional Phase Space Topology from Periodic Orbits

S. Gekle·J. Main·T. Bartsch·T. Uzer
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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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S. Gekle, J. Main, T. Bartsch, T. Uzer. 2006-07-27. Extracting Multidimensional Phase Space Topology from Periodic Orbits. https://doi.org/10.1103/physrevlett.97.104101

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