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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 4, Pages 448–454
DOI: https://doi.org/10.1134/S1560354717040074 (Mi rcd265) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Symbolic Dynamics of Magnetic Bumps

Andreas Knaufa, Marcello Serib

a Department Mathematik, Universität Erlangen-Nürnberg, Cauerstraße 11, D–91058 Erlangen, Germany
b Department of Mathematics and Statistics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX, United Kingdom
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DOI: https://doi.org/10.1134/S1560354717040074
Abstract: For $n$ convex magnetic bumps in the plane, whose boundary has a curvature somewhat smaller than the absolute value of the constant magnetic field inside the bump, we construct a complete symbolic dynamics of a classical particle moving with speed one.
Keywords: magnetic billiards, symbolic dynamics, classical mechanics.
Received: 23.12.2016
Accepted: 10.07.2017
Bibliographic databases:
Document Type: Article
MSC: 37B10, 37J35
Language: English
Citation: Andreas Knauf, Marcello Seri, “Symbolic Dynamics of Magnetic Bumps”, Regul. Chaotic Dyn., 22:4 (2017), 448–454
Citation in format AMSBIB
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\by Andreas Knauf, Marcello Seri
\paper Symbolic Dynamics of Magnetic Bumps
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 4
\pages 448--454
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\crossref{https://doi.org/10.1134/S1560354717040074}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85026860125}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:456
    References:36
     
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