MOMENTUM MAPS, INDEPENDENT FIRST INTEGRALS AND INTEGRABILITY FOR CENTRAL POTENTIALS
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Publication:5305094
DOI10.1142/S0219887809004247zbMath1196.53049MaRDI QIDQ5305094
Publication date: 19 March 2010
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
- Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles
- Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds
- Smooth functions invariant under the action of a compact Lie group
- On the global symmetry of the classical Kepler problem
- Superintegrable Hamiltonian systems: Geometry and perturbations
- Noncommutative integrability on noncompact invariant manifolds
- GEOMETRICAL ASPECTS OF INTEGRABLE SYSTEMS
- Bertrand spacetimes as Kepler/oscillator potentials
- Maximal superintegrability of the generalized Kepler–Coulomb system onN-dimensional curved spaces
- Quasi-periodicity of motions and complete integrability of Hamiltonian systems
- Dynamical symmetries, non-Cartan symmetries and superintegrability of then-dimensional harmonic oscillator
- A characterization of the Ligon-Schaaf regularization map
- Sur le théorème de Bertrand (d'après Michael Herman)
- Three-Dimensional Isotropic Harmonic Oscillator and SU3
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