Another note on focus-focus singularities

DOI10.1023/A:1015761729603zbMath1016.37029arXivmath/0110148OpenAlexW1540183129MaRDI QIDQ1609438

Nguyen Tien Zung

Publication date: 15 August 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110148

zbMATH Keywords

monodromyintegrable Hamiltonian systemtopological classificationdegenerate focus-focus singularitiesnon-Hamiltonian case

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (17)

Nekhoroshev's approach to Hamiltonian monodromy ⋮ Moment polytopes for symplectic manifolds with monodromy ⋮ Smooth normal forms for integrable Hamiltonian systems near a focus-focus singularity ⋮ Monodromy of Hamiltonian systems with complexity 1 torus actions ⋮ Hamiltonian monodromy and Morse theory ⋮ Classical Bethe ansatz and normal forms in an integrable version of the Dicke model ⋮ Asymptotics of action variables near semi-toric singularities ⋮ Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems ⋮ Vũ Ngọc's conjecture on focus-focus singular fibers with multiple pinched points ⋮ Rotation forms and local Hamiltonian monodromy ⋮ Recent advances in the monodromy theory of integrable Hamiltonian systems ⋮ From compact semi-toric systems to Hamiltonian \(S^1\)-spaces ⋮ Permutations of tori in integrable Hamiltonian systems and spectral series of pseudodifferential operators ⋮ Integrable systems, symmetries, and quantization ⋮ Monodromy of the quantum 1:1:2 resonant swing spring ⋮ Interpretation of quantum Hamiltonian monodromy in terms of lattice defects ⋮ Fractional monodromy of resonant classical and quantum oscillators

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