Extracting Multidimensional Phase Space Topology from Periodic Orbits
混沌动力学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.nlin/0607060,
title = {Extracting Multidimensional Phase Space Topology from Periodic Orbits},
author = {S. Gekle and J. Main and T. Bartsch and T. Uzer},
journal= {arXiv preprint arXiv:nlin/0607060},
year = {2007}
}
备注
4 pages, 5 figures, accepted for publication in Phys. Rev. Lett