0
2013
Impact Factor

    Svetlana Gerasimova

    Astrahanskaya st. 83, Saratov, 410026, Russia
    Saratov State University named after N. G. Chernyshevsky

    Publications:

    Adilova A. B., Gerasimova S. A., Ryskin N. M.
    Abstract
    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
    Peregorodova E. N., Gerasimova S. A., Ryskin N. M.
    Abstract
    Forced synchronization of a simple model of a three-mode self-oscillator which demonstrates appearance of self-modulation is considered. External driving at the fundamental frequency as well as at the self-modulation satellite frequency is considered. Structures of synchronization domains on the driving frequency — driving amplitude parameter plane and mechanisms of transition to the synchronous regime are investigated for the cases of single-mode and selfmodulated operation of the free-running oscillator.
    Keywords: nonlinear oscillations, automodulation, synchronization, mode competition
    Citation: Peregorodova E. N., Gerasimova S. A., Ryskin N. M.,  On the theory of forced synchronization of self-modulated oscillations, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 5, pp.  913-929
    DOI:10.20537/nd1205004

    Back to the list