Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations
Abstract
In this paper we study periodic geodesic motion on multidimensional ellipsoids with elastic impacts along confocal quadrics. We show that the method of isoperiodic deformation is applicable.
- Publication:
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Journal of Geometry and Physics
- Pub Date:
- October 2010
- DOI:
- arXiv:
- arXiv:0903.1980
- Bibcode:
- 2010JGP....60.1617A
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- Latex, 28 pages, 3 figures
