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Synchronization of self-sustained oscillators by common white noise

  • 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. (c) 2004 Elsevier B.V. All rights reserved

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Author:Denis S. Goldobin, Arkady S. PikovskyORCiDGND
Document Type:Article
Year of first Publication:2005
Year of Completion:2005
Release Date:2017/03/24
Source:Physica / a. - 351 (2005), 1, S. 126 - 132
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik