Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields
Publication
, Journal Article
Efstathiou, K; Cushman, RH; Sadovskií, DA
Published in: Physica D Nonlinear Phenomena
July 15, 2004
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. © 2004 Elsevier B.V. All rights reserved.
Duke Scholars
Published In
Physica D Nonlinear Phenomena
DOI
ISSN
0167-2789
Publication Date
July 15, 2004
Volume
194
Issue
3-4
Start / End Page
250 / 274
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Efstathiou, K., Cushman, R. H., & Sadovskií, D. A. (2004). Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. Physica D Nonlinear Phenomena, 194(3–4), 250–274. https://doi.org/10.1016/j.physd.2004.03.003
Efstathiou, K., R. H. Cushman, and D. A. Sadovskií. “Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields.” Physica D Nonlinear Phenomena 194, no. 3–4 (July 15, 2004): 250–74. https://doi.org/10.1016/j.physd.2004.03.003.
Efstathiou K, Cushman RH, Sadovskií DA. Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. Physica D Nonlinear Phenomena. 2004 Jul 15;194(3–4):250–74.
Efstathiou, K., et al. “Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields.” Physica D Nonlinear Phenomena, vol. 194, no. 3–4, July 2004, pp. 250–74. Scopus, doi:10.1016/j.physd.2004.03.003.
Efstathiou K, Cushman RH, Sadovskií DA. Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields. Physica D Nonlinear Phenomena. 2004 Jul 15;194(3–4):250–274.
Published In
Physica D Nonlinear Phenomena
DOI
ISSN
0167-2789
Publication Date
July 15, 2004
Volume
194
Issue
3-4
Start / End Page
250 / 274
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0102 Applied Mathematics