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arXiv · 1208.5437

Positive topological entropy for multi-bump magnetic fields

Andreas Knauf·Frank Schulz·Karl Friedrich Siburg
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Abstract

We study the dynamics of a charged particle in a planar magnetic field which consists of $n\geq 2$ disjoint localized peaks. We show that, under mild geometric conditions, this system is semi-conjugated to the full shift on $n$ symbols and, hence, carries positive topological entropy.

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Andreas Knauf, Frank Schulz, Karl Friedrich Siburg. 2012-08-27. Positive topological entropy for multi-bump magnetic fields. https://doi.org/10.1088/0951-7715%2F26%2F3%2F727

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