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.
S. Abenda, P.G. Grinevich (2010). Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations. JOURNAL OF GEOMETRY AND PHYSICS, 60, 1617-1633 [10.1016/j.geomphys.2010.06.001].
Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations
ABENDA, SIMONETTA;
2010
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.File in questo prodotto:
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