Open AccessSubharmonic synchronization ofself-oscillations in discrete time
Author(s) -
В. В. Зайцев,
И.В. Стулов,
А. Н. Шилин
Publication year - 2015
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2015-21-10-134-142
Subject(s) - synchronizing , van der pol oscillator , synchronization (alternating current) , discrete time and continuous time , subharmonic , control theory (sociology) , signal (programming language) , harmonic balance , physics , mathematics , computer science , nonlinear system , topology (electrical circuits) , quantum mechanics , control (management) , statistics , combinatorics , artificial intelligence , programming language
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.