Abstract
Results of the numerical analysis of transient processes in a mathematical model describing a generator with a time lag and delayed action are presented. Regular and chaotic oscillation modes under chaotically varying initial conditions are considered. The possibility of controlling a generator’s chaotic oscillations via a radio pulse is analyzed in the case when there are one or two attraction basins.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. Ya. Kislov, N. N. Zalogin, and E. A. Myasin, Radiotekh. Elektron. (Moscow) 24, 1118 (1979).
V. A. Kats and D. I. Trubetskov, Pis’ma Zh. Eksp. Teor. Fiz. 39(3), 116 (1984).
Yu. I. Neimark and P. S. Landa, Stochastic and Chaotic Oscillations (Nauka, Moscow, 1987; Kluwer, Dordrecht, 1992).
A. S. Dmitriev and V. Ya. Kislov, Stochastic Oscillations in Radio Physics and Electronics (Nauka, Moscow, 1989) [in Russian].
V. Ya. Kislov, Radiotekh. Elektron. (Moscow) 38, 1783 (1993).
R. V. Belyaev, E. V. Kal’yanov, V. Ya. Kislov, et al., Radiotekh. Elektron. (Moscow) 42, 188 (1997) [J. Commun. Technol. Electron. 42, 172 (1997)].
E. V. Kal’yanov and V. Ya. Kislov, Radiotekh. Elektron. (Moscow) 48, 434 (2003) [J. Commun. Technol. Electron. 48, 392 (2003)].
A. S. Dmitriev and A. I. Panas, Dynamic Chaos: New Media for Communications Systems (Fizmatlit, Moscow, 2002) [in Russian].
E. V. Kal’yanov and B. E. Kyarginskii, Radiotekh. Elektron. (Moscow) 47, 1091 (2002) [J. Commun. Technol. Electron. 47, 922 (2002)].
Yu. V. Gulyaev, R. V. Belyaev, G. M. Vorontsov, et al., Radiotekh. Elektron. (Moscow) 48, 1157 (2003) [J. Commun. Technol. Electron. 48, 1063 (2003)].
E. V. Kal’yanov, Pis’ma Zh. Tekh. Fiz. 26(15), 26 (2000) [Tech. Phys. Lett. 26, 656 (2000)].
B. P. Bezruchko, T. V. Dikanev, and D. A. Smirnov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineinaya Din. 9(3), 3 (2001).
A. A. Koronovskii and A. E. Khramov, Pis’ma Zh. Tekh. Fiz. 28(15), 61 (2002) [Tech. Phys. Lett. 28, 648 (2002)].
A. A. Koronovskii, D. I. Trubetskov, A. E. Khramov, and A. E. Khramova, Dokl. Akad. Nauk 383, 322 (2002) [Dokl. Phys. 47, 181 (2002)].
A. A. Koronovskii, A. E. Khramov, and I. A. Khromova, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineinaya Din. 11(1), 36 (2003).
E. A. Kotyrev and L. E. Pliss, Radiotekh. Elektron. (Moscow) 10, 1628 (1965).
E. V. Kal’yanov, Radiotekh. Elektron. (Moscow) 38, 287 (1993).
S. P. Kuznetsov, Dynamic Chaos (Course of Lectures) (Fizmatlit, Moscow, 2001) [in Russian].
Additional information
Original Russian Text © E.V. Kal’yanov, 2007, published in Radiotekhnika i Elektronika, 2007, Vol. 52, No. 1, pp. 65–76.
Rights and permissions
About this article
Cite this article
Kal’yanov, E.V. Transient phenomena and control of such phenomena in a generator with a delay. J. Commun. Technol. Electron. 52, 58–68 (2007). https://doi.org/10.1134/S1064226907010081
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1064226907010081