Taming Chaos with Disorder in Arrays of Phase Lock Loops

Josh Bozeday and John Lindner

Disordering certain coupled arrays of nonlinear elements can convert chaotic motion to periodic motion. We investigate this phenomenon in several ways. First, we create parameter space portraits of the dynamics, locating fingers of chaos in seas of periodicity. Second, we tame chaos with disorder in arrays of coupled pendulums and, for the first time, in arrays of phase lock loops. The latter success may have applications in detector arrays. This research was supported by NSF grant DMR-9619406 and The College of Wooster.