This article is cited in 1 paper

Symbolic Dynamics of Magnetic Bumps

Andreas Knauf^a, Marcello Seri<sup>b

a</sup> 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

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.

MSC: 37B10, 37J35

Received: 23.12.2016
Accepted: 10.07.2017

Language: English

DOI: 10.1134/S1560354717040074

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