Invariant circles and the order structure of periodic orbits in monotone twist maps
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Publication:1822397
DOI10.1016/0040-9383(87)90017-6zbMath0618.58032OpenAlexW1983811680MaRDI QIDQ1822397
Philip L. Boyland, Glen Richard Hall
Publication date: 1987
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(87)90017-6
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Related Items (11)
Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets ⋮ Invariant circles and rotation bands in monotone twist maps ⋮ An exhaustive criterion for the non-existence of invariant circles for area-preserving twist maps ⋮ Positive topological entropy for monotone recurrence relations ⋮ Stability of synchronization in dissipatively driven Frenkel-Kontorova models ⋮ Billiards in generic convex bodies have positive topological entropy ⋮ Rotation sets and Morse decompositions in twist maps ⋮ Quasiperiodic motions in superquadratic time-periodic potentials ⋮ Bifurcations de points fixes elliptiques. III: Orbites périodiques de ``petites périodes et élimination résonnante des couples de courbes invariantes. (Bifurcations of elliptic fixed points. III: Periodic orbits with ``small periods and resonant elimination of pairs of invariant curves.) ⋮ Topological horseshoes for surface homeomorphisms ⋮ Existence of infinite non-Birkhoff periodic orbits for area-preserving monotone twist maps of cylinders
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