Synchronization of coupled active rotators by common noise.

摘要: We study the effect of common noise on coupled active rotators. While such a always facilitates synchrony, coupling may be attractive (synchronizing) or repulsive (desynchronizing). develop an analytical approach based transformation to approximate angle-action variables and averaging over fast rotations. For identical rotators, we describe transition from full partial synchrony at critical value coupling. nonidentical most nontrivial occurs moderate coupling, where juxtaposition phase locking with frequency repulsion (anti-entrainment) is observed. show that obeys power law.