Geodesic
Small islands of stability in the phase space of the Carleson map
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 250-258 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Carleson map on the two dimensional torus and develop an asymptotic theory of islands of an arbitrary period. 
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     title = {Small islands of stability in the phase space of the {Carleson} map},
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N. V. Svanidze. Small islands of stability in the phase space of the Carleson map. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 250-258. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a25/

[1] V. F. Lazutkin, N. V. Petrova, N. V. Svanidze, “Small islands of stability in the chaotic sea”, Control of Oscillations and Chaos (COC 2000), Proc. of the Second International Conf. Vol. 1, 52–53