An integrable Hénon–Heiles system on the sphere and the hyperbolic plane
DOI10.1088/0951-7715/28/11/3789zbMath1338.37081arXiv1411.2033OpenAlexW1919323895MaRDI QIDQ3458788
Fabio Musso, Alfonso Blasco, Francisco J. Herranz, Ángel Ballesteros
Publication date: 23 December 2015
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.2033
integrable systemscurvatureHénon-Heiles systemintegrable deformationPoincaré diskanisotropic oscillatorLie-Poisson algebrasRamani-Dorizzi-Grammaticos potentials
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
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