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Synchronization of time-delay coupled pulse oscillators

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  • Klinshov, V.V.
  • Nekorkin, V.I.

Abstract

We present a detailed study of the dynamics of pulse oscillators with time-delayed coupling. We get the return maps, obtain strict solutions and analyze their stability. For the case of two oscillators, a periodical structure of synchronization regions is found in parameter space, and the regions corresponding to in-phase and antiphase regimes alternate with growth of time delay. Two types of switching between in-phase and antiphase regimes are studied. We also show that for different parameters coupling delay may have synchronizing or desynchronizing effect. Another novel result is that phase locked regimes exist for arbitrary large values. The specificity of system dynamics with large delay is studied.

Suggested Citation

  • Klinshov, V.V. & Nekorkin, V.I., 2011. "Synchronization of time-delay coupled pulse oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 98-107.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:1:p:98-107
    DOI: 10.1016/j.chaos.2010.12.007
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    References listed on IDEAS

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    1. Lind, Pedro G. & Nunes, Ana & Gallas, Jason A.C., 2006. "Impact of bistability in the synchronization of chaotic maps with delayed coupling and complex topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(1), pages 100-103.
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