WIAS Preprint No. 806, (2003)

Synchronization of weakly stable oscillators and semiconductor laser arrays


  • Kozyreff, Gregory
  • Mandel, Paul
  • Vladimirov, Andrei G.
    ORCID: 0000-0002-7540-8380

2010 Mathematics Subject Classification

  • 78A60 34C15 70K50

2008 Physics and Astronomy Classification Scheme

  • 42.65.Sf 42.55.Px 05.45.Xt


  • semiconductor laser, synchronization, coupled oscillators, bifurcations




We study the synchronization properties of an array of non identical globally coupled limit cycle oscillators. Above a critical coupling strength, some oscillators undergo a selfpulsing instability. We study analytically the synchronization conditions below and above this instability threshold, thus removing the usual restriction of limit cycle stability. Selfpulsing decreases the order parameter and synchronization degradation can be reduced by delaying the coupling among the oscillators. Semiconductor lasers coupled by an external mirror are used as a convenient realization of that model.

Appeared in

  • Europhys. Lett., 61 (2003) pp. 613--619.

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