Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems

DOI10.1134/S156035470706010XzbMath1229.70050arXiv0706.1590OpenAlexW2041053627MaRDI QIDQ655306

Nguyen Tien Zung

Publication date: 3 January 2012

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

Full work available at URL: https://arxiv.org/abs/0706.1590

zbMATH Keywords

KAM theoryintegrable systemhyperbolic singularityKolmogorov condition

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

Symplectic theory of completely integrable Hamiltonian systems

Cites Work

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• Singular fibres of the momentum mapping for integrable Hamiltonian systems.
• Sur Certains Systemes Dynamiques Separables
• A Cantor set of tori with monodromy near a focus–focus singularity
• Vanishing twist near focus–focus points

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