Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses

Abstract

An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be predicted from the phase response of a single oscillator to a given impulsive perturbation. We present a theory based on phase reduction of a jump stochastic process describing a Poisson-driven limit-cycle oscillator, and verify the results through numerical simula- tions and electric circuit experiments. We also give a geometrical interpretation of the synchronizing mechanism, a perturbative expansion to the stationary phase distribution, and the diffusion limit of our jump stochastic model.

References in corpus (2)

• Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
• Reproducibility of a noisy limit-cycle oscillator induced by a fluctuating input

Cited by in corpus (2)

• Experimental synchronization of circuit oscillations induced by common telegraph noise
• Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses