Geodesic
Splitting of separatrices for the Chirikov standard map
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 25-55

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This paper is an English translation (made by V. Gelfreich) of V. F. Lazutkin's work that was published in 1984 by VINITI and thus was not easily available for readers. In the paper, a formula for an exponentially small angle of separatrix splitting of the Chirikov standard map was obtained for the first time. 
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     author = {V. F. Lazutkin},
     title = {Splitting of separatrices for the {Chirikov} standard map},
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V. F. Lazutkin. Splitting of separatrices for the Chirikov standard map. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 25-55. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a4/