Geodesic
Two-dimensional chaos: the baker map under control
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 206-214

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Some results on the stochastic control of two-dimensional chaotic map, i.e., baker map are presented. The approach is based on probabilistic coupling of the controlled dynamics with a controlling system and subsequent lift of the coupled dynamics in a suitable functional space. The lifted dynamics is described in terms of probability densities and is governed by linear Perron–Frobenius and Koopman operators. 
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     title = {Two-dimensional chaos: the baker map under control},
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Yu. A. Kuperin; D. A. Pyatkin. Two-dimensional chaos: the baker map under control. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 206-214. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a19/