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A necessary and sufficient condition for a twist map being integrable

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Publication:1814841
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zbMath0862.58037MaRDI QIDQ1814841

Jian Cheng, Yi-Sui Sun

Publication date: 12 December 1996

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


zbMATH Keywords

generating functionJacobi fieldinvariant curvesAubry-Mather setstwist map


Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)


Related Items (4)

Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2 ⋮ The integrability of symplectic twist maps without conjugate points ⋮ Torsion of instability zones for conservative twist maps on the annulus ⋮ Non-integrability of measure preserving maps via Lie symmetries




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