Synchronization of self-sustained oscillators by common white noise

D.S. Goldobin and A.S. Pikovsky

Physica A: Statistical Mechanics and its Applications, 2005, vol. 351, issue 1, 126-132

Abstract: We study the stability of self-sustained oscillations under the influence of external noise. For small-noise amplitude a phase approximation for the Langevin dynamics is valid. A stationary distribution of the phase is used for an analytic calculation of the maximal Lyapunov exponent. We demonstrate that for small noise the exponent is negative, which corresponds to synchronization of oscillators.

Keywords: Noise; Synchronization; Lyapunov exponent (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:351:y:2005:i:1:p:126-132

DOI: 10.1016/j.physa.2004.12.014

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