The degenerate C. Neumann system. I: Symmetry reduction and convexity

DOI10.2478/s11533-012-0085-8zbMath1364.53081arXiv1205.1834OpenAlexW3103137200MaRDI QIDQ1935636

Heinz Hanßmann, Holger R. Dullin

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1834

zbMATH Keywords

symmetry reductionsuperintegrable systemdiscriminant locusglobal actionseparating co-ordinates

Mathematics Subject Classification ID

Related Items (4)

Real forms of the complex Neumann system: a method for finding real roots of polynomial \(U_{\mathcal{S}} ( \lambda )\) ⋮ Superintegrable Hamiltonian systems: Geometry and perturbations ⋮ No monodromy in the champagne bottle, or singularities of a superintegrable system ⋮ Perturbations of superintegrable systems

Cites Work

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• Geodesic flow on three-dimensional ellipsoids with equal semi-axes
• A note on the C. Neumann problem
• Reduction of symplectic manifolds with symmetry
• Generalized Liouville method of integration of Hamiltonian systems
• Convexity properties of the moment mapping re-examined
• Two remarks about the connection of Jacobi and Neumann integrable systems
• The Euler-Poinsot top: a non-commutatively integrable system without global action-angle coordinates
• Metamorphoses of Hamiltonian systems with symmetries
• Geodesics on the ellipsoid and monodromy
• Superintegrable Hamiltonian systems: Geometry and perturbations
• Singular fibres of the momentum mapping for integrable Hamiltonian systems.
• The C. Neumann Problem as a Completely Integrable System on an Adjoint Orbit
• Geodesics on quadrics and a mechanical problem of C. Neumann.
• Degeneration of Hamiltonian monodromy cycles
• Transversal Homoclinic Orbits in an Integrable System
• Actions of the Neumann systems via Picard-Fuchs equations

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