Experimental synchronization of circuit oscillations induced by common telegraph noise

TL;DR

This study experimentally demonstrates how common telegraph noise can synchronize electronic circuit oscillations, confirming theoretical predictions about phase dynamics and intermittency.

Contribution

It provides the first experimental validation of noise-induced synchronization and phase intermittency in electronic oscillators based on previous theoretical models.

Findings

Synchronization occurs under common telegraph noise.

Phase difference exhibits on-off intermittency.

Lyapunov exponents match theoretical predictions.

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.