The figure shows different types of orbits of the billiard in an ellipse with a magnetic field. The central picture is the Poincaré map, with each point representing a collision of a trajectory with the boundary, the abscissa parametrizing the position on the boundary, and the ordinate the tangent velocity. Several orbits are shown, in particular (from top to bottom and left to right): a periodic orbit, a quasiperiodic skipping orbit, a quasiperiodic "elliptic island" and a chaotic orbit.