Complete orbits for twist maps on the plane

DOI10.1017/S0143385707000843zbMath1149.37024MaRDI QIDQ3528758

Rafael Ortega, Markus Kunze

Publication date: 17 October 2008

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

zbMATH Keywords

twist mapsno assumption on the periodicity

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical aspects of twist maps (37E40)

Related Items (8)

Complete Orbits for Twist Maps with Exponential Generating Functions ⋮ Global dynamics of the breathing circle billiard ⋮ Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials ⋮ Complete orbits for twist maps on the plane: extensions and applications ⋮ Twist Mappings with Non-Periodic Angles ⋮ Complete orbits for twist maps on the plane: the case of small twist ⋮ Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt ⋮ Longtime closeness estimates for bounded and unbounded solutions of non-recurrent Duffing equations with polynomial potentials

Cites Work

• Unnamed Item
• Bounded solutions to superlinear ODEs: a variational approach
• Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
• Invariant curves of quasi-periodic reversible mappings
• A variational method for the existence of bounded solutions of a sublinear forced oscillator
• Boundedness of Solutions for Quasiperiodic Potentials
• Unbounded Solutions of ÿ + g(y) = p{t)

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