Controlling chaos in systems of coupled oscillators

We study the dynamical behavior of a one-dimensional network of phase oscillators, displaying a variety of cluster or traveling wave solutions, either stable or unstable according to the type of interaction function. For some range of parameters these solutions coexist with a chaotic attractor. We analyze a mechanism for controlling chaos and stabilizing the periodic solutions. We also analyze the minimal number of controllers needed to stabilize the system and the relation between the location of the controllers and the symmetry of the reference state to be stabilized.