Positive topological entropy for multi-bump magnetic fields

Abstract

We study the dynamics of a charged particle in a planar magnetic field which consists of $n\ge 2$ 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.

References in corpus (5)

• Positive Topological Entropy for Magnetic Flows on Surfaces
• The Non-Trapping Degree of Scattering
• Limit theorems for radial random walks on Euclidean spaces of high dimensions
• Limit transition between hypergeometric functions of type BC and type A
• Generalized duality for k-forms

Cited by in corpus (1)

• Symbolic Dynamics of Magnetic Bumps