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SYNCHRONIZATION OF FRACTIONAL VAN-DER-POL OSCILLATOR
- Authors: Zaitsev V.1, Karlov A.1, Stulov I.1
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Affiliations:
- Samara State University
- Issue: Vol 18, No 3.1 (2012)
- Pages: 116-122
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4741
- DOI: https://doi.org/10.18287/2541-7525-2012-18-3.1-116-122
- ID: 4741
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Abstract
A model of self-oscillating system with a differential equation of motion of fractional order under the action of external harmonic signal is proposed. Solutions of 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
Samara State University
Author for correspondence.
Email: morenov.sv@ssau.ru
A.V. Karlov
Samara State University
Email: morenov.sv@ssau.ru
I.V. Stulov
Samara State University
Email: morenov.sv@ssau.ru
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