Synchronization of uncoupled oscillators by common gamma impulses: from phase locking to noise-induced synchronization

Abstract

Nonlinear oscillators can mutually synchronize when they are driven by common external impulses. Two important scenarios are (i) synchronization resulting from phase locking of each oscillator to regular periodic impulses and (ii) noise-induced synchronization caused by Poisson random impulses, but their difference has not been fully quantified. Here we analyze a pair of uncoupled oscillators subject to common random impulses with gamma-distributed intervals, which can be smoothly interpolated between regular periodic and random Poisson impulses. Their dynamics are charac- terized by phase distributions, frequency detuning, Lyapunov exponents, and information-theoretic measures, which clearly reveal the differences between the two synchronization scenarios.

18 pages

References in corpus (4)

• The type II phase resetting curve is optimal for stochastic synchrony
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• Experimental synchronization of circuit oscillations induced by common telegraph noise
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Cited by in corpus (7)

• Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
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• Criterion for noise-induced synchronization: application to colloidal alignment
• Stochastic synchronization induced by noise
• Design and control of noise-induced synchronization patterns
• Topologically protected synchronization in networks
• Effective synchronization amid noise-induced chaos