No monodromy in the champagne bottle, or singularities of a superintegrable system

DOI10.3934/jgm.2016012zbMath1404.70045OpenAlexW2553874493MaRDI QIDQ728200

Larry M. Bates, Francesco Fassoò

Publication date: 19 December 2016

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2016012

zbMATH Keywords

complete integrabilitysuperintegrabilityHamiltonian monodromynoncommutative integrabilitysingularities of integrable systemssymplectically complete isotropic foliations

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Symplectic geometry, contact geometry (53D99)

Related Items (1)

On the stable eigenvalues of perturbed anharmonic oscillators in dimension two

Cites Work

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• Le problème général des variables actions-angles. (The general problem of action-angle variables)
• Monodromy in the champagne bottle
• Generalized Liouville method of integration of Hamiltonian systems
• The degenerate C. Neumann system. I: Symmetry reduction and convexity
• Superintegrable Hamiltonian systems: Geometry and perturbations
• On global action-angle coordinates
• Characteristic Classes. (AM-76)
• Global Aspects of Classical Integrable Systems

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