Geodesic
Bifurcation analysis of mutual synchronization of two oscillators coupled with delay
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 1, pp. 3-12

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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.
Mots-clés : bifurcation
Keywords: delay, coupled oscillators, synchronization. 
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     author = {A. B. Adilova and S. A. Gerasimova and N. M. Ryskin},
     title = {Bifurcation analysis of mutual synchronization of two oscillators coupled with delay},
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     pages = {3--12},
     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2017_13_1_a0/}
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A. B. Adilova; S. A. Gerasimova; N. M. Ryskin. Bifurcation analysis of mutual synchronization of two oscillators coupled with delay. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/ND_2017_13_1_a0/