On the theory of forced synchronization of self-modulated oscillations
Ekaterina N. Peregorodova, Svetlana A. Usacheva, Nikita M. Ryskin
Saratov State University named after N. G. Chernyshevsky, Saratov, Russia
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.
nonlinear oscillations, automodulation, synchronization, mode competition.
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MSC: 34C15, 34D06
Ekaterina N. Peregorodova, Svetlana A. Usacheva, Nikita M. Ryskin, “On the theory of forced synchronization of self-modulated oscillations”, Nelin. Dinam., 8:5 (2012), 913–929
Citation in format AMSBIB
\by Ekaterina~N.~Peregorodova, Svetlana~A.~Usacheva, Nikita~M.~Ryskin
\paper On the theory of forced synchronization of self-modulated oscillations
\jour Nelin. Dinam.
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