Abstract
A nonlinear mechanism of the effect of broadband fluctuations on oscillations in a Thomson self-oscillator has been revealed. The correlation function for oscillations, which takes into account all appreciable effects in the second approximation, has been obtained for the first time. A new method has been developed for analyzing steady-state synchronous oscillations in a generator forming a part of the phase-synchronization system; linearized equations of steady-state synchronous oscillations, which take into account the effect of broadband noise, have been developed for the first time. An example of calculation of a complex phase-synchronization system is considered, in which the possibility of synthesizing highly effective systems with the help of the proposed methods of analysis is illustrated. The diffusion coefficients of the phase are estimated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. M. Rytov, Yu. A. Kravtsov, and V. Tatarskii, Principles of Statistical Radiophysics (Nauka, Moscow, 1976; Springer-Verlag, Berlin, 1987).
M. I. Rabinovich and D. I. Trubetskov, Oscillations and Waves in Linear and Nonlinear Systems (Nauka, Moscow, 1984; Kluwer, Dordrecht, 1989).
V. S. Pugachev, I. E. Kazakov, and L. G. Evlanov, Statistical Theory of Automated Systems (Mashinostroenie, Moscow, 1974) [in Russian].
L. M. Lifshits, Radiotekh. Élektron. (Moscow) 33, 1899 (1988).
L. M. Lifshits, Radiotekh. Élektron. (Moscow) 37, 1905 (1992).
H. Cramer and M. Leadbetter, Stationary and Related Stochastic Processes (Wiley, New York, 1967; Mir, Moscow, 1969).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968; Nauka, Moscow, 1984).
Phase Locking, Ed. by V. V. Shakhgil’dyan and L. N. Belyustina (Svyaz’, Moscow, 1975) [in Russian].
V. I. Tikhonov, Spikes in Random Processes (Nauka, Moscow, 1970) [in Russian].
A. A. Koronovskii, A. E. Khramov, and I. A. Khromova, Pis’ma Zh. Tekh. Fiz. 30(6), 79 (2004) [Tech. Phys. Lett. 30, 253 (2004)].
Additional information
__________
Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 75, No. 8, 2005, pp. 106–112.
Original Russian Text Copyright © 2005 by Lifshits.
Rights and permissions
About this article
Cite this article
Lifshits, L.M. On the theory of Thomson self-oscillatory systems. Tech. Phys. 50, 1069–1075 (2005). https://doi.org/10.1134/1.2014541
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.2014541