doi: 10.1209/0295-5075/80/60007

PACS 05.45.Ac – Low-dimensional chaos PACS 41.20.Gz – Magnetostatics; magnetic shielding, magnetic induction, boundary-value prob-lems Abstract – In this paper we study some examples of magnetic fields with hyperbolic periodic orbits and erratic behavior. The remarkable fact is that the fields under consideration are originated by configurations which consist of two thin wires. We present a rigorous proof of the chaoticity of these magnetic fields, in the sense that they possess KAM islands and homoclinic tangles, and we also provide numerical simulations. In particular we illustrate, contrary to folk wisdom, that magnetic lines originated by current filaments can show a very complex nature. Finally, we propose a simple experimental verification of these results, as well as possible fields of application. Copyright c © EPLA, 2007 Introduction. – Magnetic fields created by current distributions usually appear in physics, both in theory and applications. The most suitable approach is the dynamica