Synchronization of coupled active rotators by common noise

Abstract

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

11 pages, 8 figures

References in corpus (11)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
• Macroscopic description for networks of spiking neurons
• Global firing induced by noise or diversity in excitable media
• Noise-Induced Synchronization of a Large Population of Globally Coupled Nonidentical Oscillators
• Invariant submanifold for series arrays of Josephson junctions
• Interplay of coupling and common noise at the transition to synchrony in oscillator populations
• Excitable elements controlled by noise and network structure
• Dynamics of a population of oscillatory and excitable elements
• Global dynamics of oscillator populations under common noise
• Synchronization in coupled phase oscillators

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