1208.5437 (Andreas Knauf et al.)

Positive topological entropy for multi-bump magnetic fields    [PDF]

Andreas Knauf, Frank Schulz, Karl Friedrich Siburg

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.

View original: http://arxiv.org/abs/1208.5437