Geodesic
On the theory of forced synchronization of self-modulated oscillations
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 5, pp. 913-929

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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 self-modulated operation of the free-running oscillator.
Keywords: nonlinear oscillations, synchronization, mode competition.
Mots-clés : automodulation 
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     title = {On the theory of forced synchronization of self-modulated oscillations},
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Ekaterina N. Peregorodova; Svetlana A. Usacheva; Nikita M. Ryskin. On the theory of forced synchronization of self-modulated oscillations. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 5, pp. 913-929. http://geodesic.mathdoc.fr/item/ND_2012_8_5_a3/