Existence of infinite non-Birkhoff periodic orbits for area-preserving monotone twist maps of cylinders

DOI10.1007/BF02884180zbMath0998.37017MaRDI QIDQ1589765

Wei Cheng, Chong-Qing Cheng

Publication date: 16 November 2002

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

twist mapinvariant curveBirkhoff periodic point

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of twist maps (37E40)

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• 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
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
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