Synchronization of self-oscillator wich fractional feedback
- Authors: Zaitsev V.1, Karlov A.1, Yarovoy G.1
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Affiliations:
- Самарский государственный университет
- Issue: Vol 16, No 1 (2013)
- Pages: 19-23
- Section: Articles
- URL: https://journals.ssau.ru/pwp/article/view/7379
- ID: 7379
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Abstract
A model of self-oscillating system with a differential equation of motion of fractional order under the action of an external harmonic signal is proposed. Solutions of the equation of motion which correspond to the regime of steady-state synchronized oscillations and the regime of beats near the synchronization band are obtained in the quasiharmonic approximation. The amplitude frequency and phase-frequency characteristics of synchronization of fractional Van der Pol oscillator are analyzed. An analogy between the generator with a fractional feedback circuit and the generator with delayed feedback is established.
About the authors
V.V. Zaitsev
Самарский государственный университет
Author for correspondence.
Email: zaitsev@samsu.ru
Ar.V. Karlov
Самарский государственный университет
Email: zaitsev@samsu.ru
G.P. Yarovoy
Самарский государственный университет
Email: yarovoi@ssu.samara.ru