An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations

DOI10.1016/0960-0779(92)90035-LzbMath0769.58022OpenAlexW2086355095MaRDI QIDQ1208384

Sergej B. Kuksin

Publication date: 16 May 1993

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90035-l

zbMATH Keywords

Hamiltonian systeminvariant toriquasiperiodic solution

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (4)

Hamiltonian and reversible systems with smooth families of invariant tori ⋮ The Poincaré-Lyapounov-Nekhoroshev theorem ⋮ Invariant tori for commuting Hamiltonian PDEs ⋮ A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry

Cites Work

• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
• On elliptic lower dimensional tori in Hamiltonian systems
• Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
• PERTURBATION THEORY FOR QUASIPERIODIC SOLUTIONS OF INFINITE-DIMENSIONAL HAMILTONIAN SYSTEMS, AND ITS APPLICATION TO THE KORTEWEG-DE VRIES EQUATION
• The spectral theory of a functional-difference operator in conformal field theory
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