Symplectic invariants for parabolic orbits and cusp singularities of integrable systems

DOI10.1098/rsta.2017.0424zbMath1407.37096arXiv1802.09910OpenAlexW3106123687WikidataQ91493137 ScholiaQ91493137MaRDI QIDQ4626211

Lorenzo Guglielmi, E. A. Kudryavtseva, Alexei V. Bolsinov

Publication date: 27 February 2019

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09910

zbMATH Keywords

integrable Hamiltonian systemssingular Lagrangian fibrations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (8)

Structurally stable nondegenerate singularities of integrable systems ⋮ Unnamed Item ⋮ Classification of singularities of smooth functions with a finite cyclic symmetry group ⋮ Constructions of b-semitoric systems ⋮ Parabolicity of degenerate singularities in axisymmetric Euler systems with a gyrostat ⋮ Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases ⋮ Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori ⋮ Hidden toric symmetry and structural stability of singularities in integrable systems

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