Positive topological entropy for multi-bump magnetic fields

Knauf A, Schulz F, Siburg KF (2013)

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Publisher: Institute of Physics: Hybrid Open Access

Book Volume: 26

Pages Range: 727--743

Journal Issue: 3

DOI: 10.1088/0951-7715/26/3/727

Abstract

We study the dynamics of a charged particle in a planar magnetic field which consists of n ≥ 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.

Authors with CRIS profile

Andreas Knauf Lehrstuhl für Mathematik (Mathematische Physik)

Involved external institutions

Technische Universität Dortmund DE Germany (DE)

How to cite

APA:

Knauf, A., Schulz, F., & Siburg, K.F. (2013). Positive topological entropy for multi-bump magnetic fields. Nonlinearity, 26(3), 727--743. https://dx.doi.org/10.1088/0951-7715/26/3/727

MLA:

Knauf, Andreas, Frank Schulz, and Karl Friedrich Siburg. "Positive topological entropy for multi-bump magnetic fields." Nonlinearity 26.3 (2013): 727--743.

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