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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 206–214 (Mi znsl1011)  
This article is cited in 2 scientific papers (total in 2 papers)

Two-dimensional chaos: the baker map under control

Yu. A. Kuperin, D. A. Pyatkin

V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (166 kB) Citations (2)
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Abstract: 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.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2798–2802
DOI: https://doi.org/10.1007/s10958-005-0234-8
Bibliographic databases:
UDC: 517.9
Language: English
Citation: Yu. A. Kuperin, D. A. Pyatkin, “Two-dimensional chaos: the baker map under control”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 206–214; J. Math. Sci. (N. Y.), 128:2 (2005), 2798–2802
Citation in format AMSBIB
\Bibitem{KupPya03}
\by Yu.~A.~Kuperin, D.~A.~Pyatkin
\paper Two-dimensional chaos: the baker map under control
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 206--214
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1995360}
\zmath{https://zbmath.org/?q=an:1120.37019}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2798--2802
\crossref{https://doi.org/10.1007/s10958-005-0234-8}
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  • https://www.mathnet.ru/eng/znsl/v300/p206
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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