Periodic billiard orbits on \(n\)-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations
DOI10.1016/j.geomphys.2010.06.001zbMath1205.14047arXiv0903.1980OpenAlexW2090188222MaRDI QIDQ988913
Petr G. Grinevich, Simonetta Abenda
Publication date: 19 August 2010
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.1980
geodesic flow on quadricsintegrable billiard systemsisoperiodic deformationstranscendental billiard maps
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)
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Cites Work
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