Three results on the regularity of the curves that are invariant by an exact symplectic twist map
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Publication:1026656
DOI10.1007/s10240-009-0017-8zbMath1177.53070OpenAlexW2035926507WikidataQ124885712 ScholiaQ124885712MaRDI QIDQ1026656
Publication date: 25 June 2009
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_2009__109__1_0/
Symplectic manifolds (general theory) (53D05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15)
Related Items (9)
Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2 ⋮ Limit sets of convex non-elastic billiards ⋮ Weak K. A. M. solutions and minimizing orbits of twist maps ⋮ Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures ⋮ The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents ⋮ The non-hyperbolicity of irrational invariant curves for twist maps and all that follows ⋮ Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of Oseledets’ splitting ⋮ Non-differentiable irrational curves for twist map ⋮ On the accumulation of separatrices by invariant circles
Cites Work
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Symplectic twist maps without conjugate points
- A theorem of E. Hopf
- Convex Hamiltonians without conjugate points
- A geometric proof of the existence of the Green bundles
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