Symplectic classification of coupled angular momenta

DOI10.1088/1361-6544/ab4e05zbMath1435.37081arXiv1808.05849OpenAlexW3100575977MaRDI QIDQ5203934

Sonja Hohloch, Holger R. Dullin, Jaume Alonso

Publication date: 9 December 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05849

zbMATH Keywords

integrable systemsHamiltonian systemsfocus-focus singularitiessymplectic invariantssemitoric systemssingular Lagrangian fibrations

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (11)

Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Packing densities of Delzant and semitoric polygons ⋮ Taylor series and twisting-index invariants of coupled spin-oscillators ⋮ Constructions of b-semitoric systems ⋮ Vũ Ngọc's conjecture on focus-focus singular fibers with multiple pinched points ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Characterization of toric systems via transport costs ⋮ A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation ⋮ A family of compact semitoric systems with two focus-focus singularities ⋮ The height invariant of a four-parameter semitoric system with two focus-focus singularities ⋮ A family of semitoric systems with four focus-focus singularities and two double pinched tori

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