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Intermittent chaos in Hamiltonian systems: The three-dimensional hydrogen atom in magnetic fields

โœ Scribed by Schmelcher, P.; Cederbaum, L. S.


Book ID
124075059
Publisher
The American Physical Society
Year
1993
Tongue
English
Weight
254 KB
Volume
47
Category
Article
ISSN
1050-2947

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Hamiltonian Hopf bifurcation of the hydr
โœ K. Efstathiou; R.H. Cushman; D.A. Sadovskiฤฑฬ ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 420 KB

We consider the hydrogen atom in crossed electric and magnetic fields. We prove that near the Stark and Zeeman limits the system goes through two qualitatively different Hamiltonian Hopf bifurcations. We explain in detail the geometry of the bifurcations.