Type des points fixes des difféomorphismes symplectiques de $\bbfT{}\sp n\times{}\bbfR{}\sp n$

DOI10.24033/msmf.361zbMath0758.58009OpenAlexW2584521643MaRDI QIDQ4017140

Marie-Claude Arnaud

Publication date: 16 January 1993

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1992_2_48__1_0

zbMATH Keywords

Birkhoff-Lewis theoremcompletely integrable diffeomorphismsymplectic \(C^ r\)-diffeomorphism

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential topological aspects of diffeomorphisms (57R50)

Related Items (6)

A note on expansiveness and hyperbolicity for generic geodesic flows ⋮ Geodesic flows with positive topological entropy, twist maps and hyperbolicity ⋮ Billiards in generic convex bodies have positive topological entropy ⋮ Création de points périodiques de tous types au voisinage des tores K.A.M. ⋮ Generic properties of geodesic flows on analytic hypersurfaces of Euclidean space ⋮ Hyperbolicity through stable shadowing for generic geodesic flows

Cites Work

• Generic Properties of Conservative Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Type des points fixes des difféomorphismes symplectiques de $\bbfT{}\sp n\times{}\bbfR{}\sp n$