Arita, Ken-ichiro and Brack, Matthias (2008) Normal forms and uniform approximations for bridge orbit bifurcations. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41 (38): 385207. ISSN 1751-8113,
Full text not available from this repository. (Request a copy)Abstract
We discuss various bifurcation problems in which two isolated periodic orbits exchange periodic 'bridge' orbit(s) between two successive bifurcations. We propose normal forms which locally describe the corresponding fixed point scenarios on the Poincare surface of section. Uniform approximations for the density of states for an integrable Hamiltonian system with two degrees of freedom are derived and successfully reproduce the numerical quantum-mechanical results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERIODIC-ORBITS; TRACE FORMULA; SYMMETRY; SPECTRUM; SYSTEMS; ORIGIN; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Oct 2020 05:55 |
| Last Modified: | 26 Oct 2020 05:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/30265 |
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