Subharmonic synchronization of self-oscillations in discrete time

Self-oscillations in the system oscillating in discrete time and being under the influence of an external harmonious signal are investigated. As an object of researches the option of discrete map of the oscillator of Van der Pol offered earlier by authors is brought to attention. The modes of synchronous self-oscillations are analysed by means of methods of numerical experiment and harmonic balance. It is established that the effect of subharmonic synchronization in discrete time can be realized at any relation of frequencies of synchronized self-oscillations and the synchronizing signal.