Synchronization induced by common colored noise in limit cycle and chaotic systems

Abstract

We study the synchronization of dynamical systems induced by a common external noise which has an exponentially decaying time correlation. The synchronization threshold in the noise amplitude is discussed. We clarify how the synchronization threshold depends on the correlation decay rate of the noise for limit cycle and chaotic systems. The dependences are shown to be completely different: The threshold is independent of the correlation decay rate in limit cycle systems while it diverges in the limit of the large correlation decay rate and has the nonzero minimum value at a finite value of the correlation decay rate in chaotic systems. Effects of parameter mismatch between the driven systems on the synchronization quality are also discussed.