Experimental synchronization of circuit oscillations induced by common telegraph noise

Abstract

Experimental realization and quantitative investigation of common-noise-induced synchronization of limit-cycle oscillations subject to random telegraph signals are performed using an electronic oscillator circuit. Based on our previous formulation [K. Nagai et al., Phys. Rev. E 71, 036217 (2005)], dynamics of the circuit is described as random-phase mappings between two limit cycles. Lyapunov exponents characterizing the degree of synchronization are estimated from experimentally determined phase maps and compared with linear damping rates of phase differences measured directly. Noisy on-off intermittency of the phase difference as predicted by the theory is also confirmed experimentally.

References in corpus (5)

• Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
• Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
• Synchrony of limit-cycle oscillators induced by random external impulses
• Asymptotic power law of moments in a random multiplicative process with weak additive noise
• Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses

Cited by in corpus (6)

• A review of shaped colloidal particles in fluids: Anisotropy and chirality
• Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise
• Synchronization of uncoupled oscillators by common gamma impulses: from phase locking to noise-induced synchronization
• Criterion for noise-induced synchronization: application to colloidal alignment
• Stochastic synchronization induced by noise
• Effective synchronization amid noise-induced chaos