Regular dependence of invariant curves and Aubry–Mather sets of twist maps of an annulus

DOI10.1017/S0143385700004697zbMath0672.58021MaRDI QIDQ3825790

Raphaël Douady

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

normal formsinvariant curvesFarey seriesdiophantine rotation number

Mathematics Subject Classification ID

Topological dynamics (37B99) Manifolds of mappings (58D15)

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Integrability of hamiltonian systems on cantor sets
• Generalized implicit function theorems with applications to some small divisor problems, II
• THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
• Geodesics on a two-dimensional Riemannian manifold with periodic coefficients