Periodic billiard orbits on $n$--dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations

Details Periodic billiard orbits on $n$--dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations Periodic billiard orbits on $n$--dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations

2009-03-11

arxiv.org/abs/0903.1980v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 28 pages, 3 figures

Scientific paper

In our 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.

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