Invariant circles and rotation bands in monotone twist maps

DOI10.1007/BF01221397zbMath0643.58007OpenAlexW2062347263MaRDI QIDQ1102007

Philip L. Boyland

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01221397

zbMATH Keywords

invariant setannuluscelestial mechanicsmonotone twist mapinvariant circlesDenjoy minimal setirrratinal rotation numberrotation band

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Topological dynamics (37B99) Ergodic theory (37A99)

Related Items

Rotation sets and Morse decompositions in twist maps, Twist number and order properties of periodic orbits

Cites Work

• Converse KAM: theory and practice
• Transport in Hamiltonian systems
• More Denjoy minimal sets for area preserving diffeomorphisms
• A criterion for the non-existence of invariant circles
• Invariant circles and the order structure of periodic orbits in monotone twist maps
• Glancing billiards
• Non-existence of invariant circles
• Strict Ergodicity and Transformation of the Torus
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