Approximation of truncated equations of non-autonomous self-oscillator with phase feedback

Authors

DOI:

https://doi.org/10.3103/S0735272704040107

Abstract

A new locked self-oscillator with phase feedback is suggested. The truncated differential equations describing the oscillator operation are solved by an analytical method specially developed.

Author Biography

Volodymyr V. Rapin, Kharkiv National University of Radioelectronics

(2004) “Gaztest” scientific-and-production company

References

BOGOLYUBOV, N.N.; MITROPOL’SKII, Y.A. Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian]. Moscow: Gos. Izd. Fiz.-Mat. Lit., 1963.

MITROPOL’SKII, Y.A. Methods of Averaging in Nonlinear Mechanics [in Russian]. Kiev: Naukova Dumka, 1971.

VAINSHTEIN, L.A.; VAKMAN, D.Y. Separation of Frequencies in the Theory of Oscillations and Waves [in Russian]. Moscow: Nauka, 1983.

ANDREYEV, V.S. Theory of Nonlinear Electric Oscillations [in Russian]. Moscow: Svyaz’, 1972.

RAPIN, V. "Synchronized oscillators with the phase-negative feedback," IEEE Trans. Circuits, Syst. I: Fund. Theory and Applications, v.49, n.8, p.1242-1245, 2002. DOI: https://doi.org/10.1109/TCSI.2002.800615.

POLULYAKH, K.S. Resonant Methods of Measurement [in Russian]. Moscow: Energiya, 1980.

Published

2004-04-10

Issue

Section

Research Articles