Ukrainian Mathematical Journal

, Volume 57, Issue 7, pp 1089–1119 | Cite as

Conditions for Synchronization of One Oscillation System

  • A. M. Samoilenko
  • L. Recke
Article

Abstract

Using methods of perturbation theory, we investigate the global behavior of trajectories on a toroidal attractor and in its neighborhood for a system of differential equations that arises in the study of synchronization of oscillations in the mathematical model of an optical laser.

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • A. M. Samoilenko
    • 1
  • L. Recke
    • 2
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine
  2. 2.Humboldt UniversityBerlinGermany

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