Analysis of Fluctuations of a Parametric Vacuum Tube Oscillator with Delayed Feedback
The generating equation and equations for amplitude and phase fluctuations of the parametric tube oscillator with delayed feedback are analyzed in the paper. The steady-state oscillation modes and the influence of fluctuations in the natural frequency of the oscillator on the operation of the self-oscillator and parametric “pumping” in the presence of interference are investigated. The domains for the parameters of the original equation corresponding to unstable nodes, stable nodes, and focal points are identified.
Keywordsvacuum tube oscillator parametric “pump,” steady state mode
Unable to display preview. Download preview PDF.
- 1.M. I. Bukatar’ and E. F. Tsar’kov, “Self-oscillations in a vacuum tube oscillator with delayed feedback,” Izvestiya Vuzov, No. 8, 1117–1125 (1970).Google Scholar
- 2.I. S. Gonorovskii, “To the theory of high-frequency oscillators with delayed feedback,” Radiotekhnika, 13, No. 5, 19–30 (1958).Google Scholar
- 3.R. A. Stratonovich, Selected Issues from the Theory of Fluctuations in Radio Engineering [in Russian], Sov. Radio, Moscow (1961).Google Scholar
- 4.E. F. Tsar’kov, Random Perturbations of Functional Differential Equations [in Russian], Zinatne, Riga (1989).Google Scholar
- 5.V. P. Rubanik, Oscillations of Quasilinear Systems with Delay [in Russian], Nauka, Moscow (1969).Google Scholar
- 9.P. Billingsley, Convergence of Probability Measures, Wiley-Interscience (1999).Google Scholar
- 10.A. A Jakubovski, “Non-Skorohod topology on the Skorohod space,” Electronic J. of Probability, 42, No. 18, 1–21 (1997).Google Scholar
- 11.I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations and their Applications [in Russian], Naukova Dumka, Kyiv (1982).Google Scholar