Taylor series and twisting-index invariants of coupled spin-oscillators

DOI10.1016/j.geomphys.2018.09.022zbMath1432.37083arXiv1712.06402OpenAlexW2781262260WikidataQ128313711 ScholiaQ128313711MaRDI QIDQ2422370

Sonja Hohloch, Holger R. Dullin, Jaume Alonso

Publication date: 19 June 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06402

zbMATH Keywords

focus-focus singularitycompletely integrable Hamiltonian systemssemitoric systemscoupled spin oscillatorsTaylor series invarianttwisting index invariant

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symplectic and canonical mappings (37J11)

Related Items

Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Packing densities of Delzant and semitoric polygons ⋮ Symplectic geometry and spectral properties of classical and quantum coupled angular momenta ⋮ Constructions of b-semitoric systems ⋮ Vũ Ngọc's conjecture on focus-focus singular fibers with multiple pinched points ⋮ Hamiltonian Monodromy via spectral Lax pairs ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Characterization of toric systems via transport costs ⋮ 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 ⋮ Symplectic classification of coupled angular momenta ⋮ A family of semitoric systems with four focus-focus singularities and two double pinched tori

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