Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem

DOI10.3842/SIGMA.2016.010zbMath1390.37094arXiv1509.07493OpenAlexW2237577896MaRDI QIDQ908279

Manuel F. Rañada, José F. Cariñena

Publication date: 4 February 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07493

zbMATH Keywords

Kepler problemRunge-Lenz vectorsuperintegrabilityquasi-bi-Hamiltonian structure

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items

Quasi-bi-Hamiltonian structures, complex functions and superintegrability: the Tremblay–Turbiner–Winternitz (TTW) and the Post–Winternitz (PW) systems, Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space, Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion, Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems, Bi-Hamiltonian structure of the bi-dimensional superintegrable nonlinear isotonic oscillator

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