New intermittencies in the chaotic synchronization of two coupled 1D arrays of phase oscillators

A model consisting of two identical unidirectionally coupled 1D arrays of phase oscillators is studied. The master array is in the spatio-temporal chaos regime and is periodically driven. The time series of the distance between the arrays is the main object of our study. As the unidirectional coupling between the arrays increases, a transition from a Markovian regime to a noise regime in the time series is observed. Typically, this time series has a PDF whose core depends strongly on the stroboscopic section and typically displays tails with power-law dependence. The kind of intermittency of this time series is not characteristic of on–off intermittency, which typically arises in models of chaotic synchronization.