Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori

DOI10.1134/S1560354721060101zbMath1490.37080arXiv2106.04838OpenAlexW4200281620WikidataQ114074877 ScholiaQ114074877MaRDI QIDQ2074782

Nikolay N. Martynchuk, E. A. Kudryavtseva

Publication date: 10 February 2022

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04838

zbMATH Keywords

circle actionstructural stabilitynormal formsLiouville integrabilityparabolic orbit

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Lagrangian submanifolds; Maslov index (53D12) Symplectic and canonical mappings (37J11) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (3)

Structurally stable nondegenerate singularities of integrable systems ⋮ Classification of singularities of smooth functions with a finite cyclic symmetry group ⋮ Constructions of b-semitoric systems

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