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

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 self-modulated operation of the free-running oscillator.

Keywords: nonlinear oscillations, automodulation, synchronization, mode competition.

UDC: 537.86/530.182

MSC: 34C15, 34D06

Received: 07.08.2012
Revised: 10.09.2012