Two symplectic fixed-point theorems with applications to Hamiltonian dynamics

zbMath0709.58017MaRDI QIDQ921680

Ivar Ekeland, Helmut Hofer

Publication date: 1989

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

perturbationHamiltonian systemenergy levelsymplectic flow

Mathematics Subject Classification ID

Hamilton's equations (70H05) Control of mechanical systems (70Q05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (11)

Rabinowitz Floer Homology: A Survey ⋮ Symplectic topology and Hamiltonian dynamics ⋮ A Morse estimate for translated points of contactomorphisms of spheres and projective spaces ⋮ Künneth formula in Rabinowitz Floer homology ⋮ Translated points on hypertight contact manifolds ⋮ Lusternik-Schnirelman-theory for Lagrangian intersections ⋮ Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications ⋮ Coisotropic intersections ⋮ On a theorem by Ekeland-Hofer ⋮ Existence of leafwise intersection points in the unrestricted case ⋮ Fragility and persistence of leafwise intersections

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