The European Physical Journal D

, Volume 62, Issue 1, pp 51–56 | Cite as

Synchronization regions of two pulse-coupled electronic piecewise linear oscillators

  • N. Rubido
  • C. Cabeza
  • S. Kahan
  • G.M. Ramírez Ávila
  • Arturo C. MartiEmail author


Stable synchronous states of different order were analytically, numerically and experimentally characterized in pulse-coupled light-controlled oscillators (LCOs). The Master-Slave (MS) configuration was studied in conditions where different time-scale parameters were tuned under varying coupling strength. Arnold tongues calculated analytically – based on the piecewise two-time-scale model for LCOs – and obtained numerically were consistent with experimental results. The analysis of the stability pattern and tongue shape for (1 : n) synchronization was based on the construction of return maps representing the Slave LCO evolution induced by the action of the Master LCO. The analysis of these maps showed that both tongue shape and stability pattern remained invariant. Considering the wide variation range of LCO parameters, the obtained results could have further applications on ethological models.


Coupling Strength Wide Variation Range Synchronization Region Arnold Tongue Point Sink 
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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • N. Rubido
    • 1
  • C. Cabeza
    • 1
  • S. Kahan
    • 1
  • G.M. Ramírez Ávila
    • 2
    • 3
  • Arturo C. Marti
    • 1
    Email author
  1. 1.Instituto de Física, Universidad de la RepúblicaMontevideoUruguay
  2. 2.Institut für Physik, Humboldt Universität zu BerlinBerlinGermany
  3. 3.Instituto de Investigaciones Físicas, Universidad de San AndrésLa PazBolivia

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