Superintegrable extensions of superintegrable systems

DOI10.3842/SIGMA.2012.070zbMath1356.70019arXiv1210.3126MaRDI QIDQ352362

Luca Degiovanni, Giovanni Rastelli, Claudia Maria Chanu

Publication date: 4 July 2013

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

Full work available at URL: https://arxiv.org/abs/1210.3126

zbMATH Keywords

polynomial first integralssuperintegrable Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (8)

The Tremblay-Turbiner-Winternitz system as extended Hamiltonian ⋮ Extensions of Hamiltonian systems dependent on a rational parameter ⋮ Extended Hamiltonians and shift, ladder functions and operators ⋮ On the extended-Hamiltonian structure of certain superintegrable systems on constant-curvature Riemannian and pseudo-Riemannian surfaces ⋮ Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials ⋮ Modified Laplace-Beltrami quantization of natural Hamiltonian systems with quadratic constants of motion ⋮ Extensions of nonnatural Hamiltonians ⋮ Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials

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