The Jacobi-Rosochatius problem on an ellipsoid: the Lax representations and billiards

DOI10.1007/s00205-013-0638-4zbMath1325.37035arXiv1303.6204OpenAlexW2056693486MaRDI QIDQ394025

Mohammad Hasan, H. S. Yoon

Publication date: 24 January 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6204

zbMATH Keywords

integrabilitybilliardsLax representationJacobi-Rosochatius problem

Mathematics Subject Classification ID

Related Items (7)

Virtual billiards in pseudo-Euclidean spaces: discrete Hamiltonian and contact integrability ⋮ Algebraic geometry and stability for integrable systems ⋮ Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ Projective integrable mechanical billiards ⋮ Two Integrable Cases of a Ball Rolling over a Sphere in $\mathbb{R}^n$ ⋮ Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere ⋮ Heisenberg model in pseudo-Euclidean spaces. II.

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