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    Bifurcation analysis of mutual synchronization of two oscillators coupled with delay

    2017, Vol. 13, No. 1, pp.  3-12

    Author(s): Adilova A. B., Gerasimova S. A., Ryskin N. M.

    In this paper, mutual synchronization of two limit-cycle oscillators coupled with delay is studied. The results of bifurcation analysis are presented under the assumption that the delay is small in comparison with the oscillation build-up time. The stability conditions for in-phase and anti-phase modes of synchronization are analyzed at different values of parameters. The synchronization tongues on the frequency mismatch — coupling strength plane are presented.
    Keywords: bifurcation, delay, coupled oscillators, synchronization
    Citation: Adilova A. B., Gerasimova S. A., Ryskin N. M., Bifurcation analysis of mutual synchronization of two oscillators coupled with delay, Rus. J. Nonlin. Dyn., 2017, Vol. 13, No. 1, pp.  3-12
    DOI:10.20537/nd1701001


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