A Cantor set of tori with monodromy near a focus–focus singularity

DOI10.1088/0951-7715/17/1/019zbMath1079.37056arXivnlin/0306058OpenAlexW2145309189MaRDI QIDQ4460777

Bob Rink

Publication date: 29 March 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0306058

zbMATH Keywords

singular Lagrangian foliations

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Fiberings with singularities in algebraic topology (55R55)

Related Items (6)

Hamiltonian monodromy and Morse theory ⋮ Recent advances in the monodromy theory of integrable Hamiltonian systems ⋮ Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems ⋮ Classification of perturbations of the hydrogen atom by small static electric and magnetic fields ⋮ Monodromy in non-integrable systems on certain compact classical phase spaces ⋮ Bifurcations and monodromy of the axially symmetric \(1:1:-2\) resonance

This page was built for publication: A Cantor set of tori with monodromy near a focus–focus singularity