Synchronization of self-oscillator wich fractional feedback


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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

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Copyright (c) 2013 Zaitsev V., Karlov A., Yarovoy G.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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