Radiophysics and Quantum Electronics

, Volume 47, Issue 10–11, pp 910–915 | Cite as

Synchronization of periodic self-oscillations by common noise

  • D. S. Goldobin
  • A. S. Pikovsky


We consider the effect of external noise on the stability properties of self-oscillations. A stochastic equation for the phase is derived at the limit of weak noise (in the appropriate sense). The stationary probability-density distribution is used for an analytic calculation of the Lyapunov exponent. We show that the exponent is always negative for the small noise level, which corresponds to synchronization of self-oscillations.


Noise Level Lyapunov Exponent Quantum Electronics Analytic Calculation Nonlinear Optic 
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Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • D. S. Goldobin
    • 1
    • 2
  • A. S. Pikovsky
    • 2
  1. 1.Perm State UniversityPermRusia
  2. 2.University of PotsdamPotsdamGermany

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