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Generalized Arnol'd tongues for twist maps of the annulus

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Publication:1598510
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DOI10.1016/S1631-073X(02)02220-3zbMath1015.37033MaRDI QIDQ1598510

Sylvain Crovisier

Publication date: 4 August 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

rotation numbersArnol'd tonguestwist mapsdissipative case


Mathematics Subject Classification ID

Dynamical aspects of twist maps (37E40) Rotation numbers and vectors (37E45)


Related Items (1)

Existence of orbits with non-zero torsion for certain types of surface diffeomorphisms



Cites Work

  • Amount of rotation about a point and the Morse index
  • Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
  • Small denominators. I. Mappings of the circumference onto itself
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