Abstract
For each number ϱ between the lower and the upper rotation number of the Birkhoff attractor of a dissipative monotone twist map, there is a periodic or quasi-periodic orbit with rotation number ϱ.
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Communicated by J. Mather
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Le Calvez, P. Existence d'orbites quasi-periodiques dans les attracteurs de Birkhoff. Commun.Math. Phys. 106, 383–394 (1986). https://doi.org/10.1007/BF01207253
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DOI: https://doi.org/10.1007/BF01207253