On a result by J. N. Mather concerning invariant sets for area-preserving twist maps

DOI10.1007/BF00962059zbMath0731.58059MaRDI QIDQ808068

Luigi Chierchia

Publication date: 1991

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

invariant setscylinderarea-preserving monotone twist mapsnon- existence of invariant circles

Mathematics Subject Classification ID

Topological dynamics (37B99)

Cites Work

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• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Non-uniqueness of solutions of Percival's Euler-Lagrange equation
• Converse KAM: theory and practice
• More Denjoy minimal sets for area preserving diffeomorphisms
• Construction of analytic KAM-surfaces and effective stability bounds
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Non-existence of invariant circles
• Recent Developments in the Theory of Hamiltonian Systems

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