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References
[An1] Angenent, S.B.: The periodic orbits of an area preserving twist map. Commun. Math. Phys.115 (no 3) (1988)
[An2] Angenent, S.B.: Monotone recurrence relations, their Birkhoff orbits and topological entropy. Ergod. Theory Dynam. Sys.10, 15–41 (1990)
[A-G] Angenent, S., Golé, C.: Laminations by ghost circles. Preprint ETH (1991)
[A-L] Aubry, S., Le Daeron, P.Y.: The discrete Frenkel-Kontorova model and its extensions. I. Exact results for ground states. Physica8D, 381–422 (1983)
[G1] Golé, C.: Periodic points for monotone symplectomorphisms of\(\mathbb{T}^n \times \mathbb{R}^n \). Ph.D. Thesis. Boston University (1989)
[G2] Golé, C.: Ghost circles for twist maps. IMA Preprint (1990); J. Differ. Equations (to appear)
[K] Katok, A.: More about Birkhoff periodic orbits and Mather sets for twist maps. Preprint, University of Maryland (1982)
[M] Mather, J.: Existence of quasiperiodic orbits for twist homeomorphisms of the annulus. Topology21, 457–467 (1982)
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Golé, C. A new proof of the Aubry-Mather's theorem. Math Z 210, 441–448 (1992). https://doi.org/10.1007/BF02571806
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DOI: https://doi.org/10.1007/BF02571806