Svetlana Gerasimova
Astrahanskaya st. 83, Saratov, 410026, Russia
Saratov State University named after N. G. Chernyshevsky
Publications:
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Adilova A. B., Gerasimova S. A., Ryskin N. M.
Bifurcation analysis of mutual synchronization of two oscillators coupled with delay
2017, Vol. 13, No. 1, pp. 3-12
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.
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Peregorodova E. N., Gerasimova S. A., Ryskin N. M.
On the theory of forced synchronization of self-modulated oscillations
2012, Vol. 8, No. 5, pp. 913-929
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.
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