The height invariant of a four-parameter semitoric system with two focus-focus singularities

DOI10.1007/s00332-021-09706-4zbMath1469.37043arXiv2006.15369OpenAlexW3154769297MaRDI QIDQ2022531

Jaume Alonso, Sonja Hohloch

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15369

zbMATH Keywords

focus-focus singularitiescompletely integrable Hamiltonian systemssymplectic invariantssemitoric systemsheight invariant

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items

Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Constructions of b-semitoric systems ⋮ A family of semitoric systems with four focus-focus singularities and two double pinched tori

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