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