scientific article; zbMATH DE number 1274843

zbMath0919.58030MaRDI QIDQ4237647

András Némethi, Yuji Kodama, Thomas Kappeler

Publication date: 26 May 1999

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1998_4_26_4_623_0

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zbMATH Keywords

Birkhoff normal formequilibrium pointcompletely integrable Hamiltonian systemsimple resonance

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Normal forms for dynamical systems (37G05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (4)

On the divergence of Birkhoff normal forms ⋮ Birkhoff normal form and twist coefficients of periodic orbits of billiards* ⋮ Local integrability of Poincaré-Dulac normal forms ⋮ A conceptual approach to the problem of action-angle variables

Cites Work

• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
• Convergence of Birkhoff normal forms for integrable systems
• Action-angle coordinates at singularities for analytic integrable systems
• Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance cases
• On the integrals of canonical systems
• On global action-angle coordinates
• Differential Topology
• Sur Certains Systemes Dynamiques Separables
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