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.
Keywords:
nonlinear oscillations, automodulation, synchronization, mode competition
Citation:
Peregorodova E. N., Gerasimova S. A., Ryskin N. M., On the theory of forced synchronization of self-modulated oscillations, Rus. J. Nonlin. Dyn.,
2012, Vol. 8, No. 5,
pp. 913-929
DOI:10.20537/nd1205004