Transition to Chaotic Phase Synchronization through Random Phase Jumps

摘要

Phase synchronization is shown to occur between opposite cells of a ringconsisting of chaotic Lorenz oscillators coupled unidirectionally throughdriving. As the coupling strength is diminished, full phase synchronizationcannot be achieved due to random generation of phase jumps. The browniandynamics underlying this process is studied in terms of a stochastic diffusionmodel of a particle in a one-dimensional medium.