Abstract
A new mathematical model of a delayed self-sustained oscillatory system with additional feedback is considered; this feedback provides autoparametric self-action in the system. Results of numerical analysis of the proposed model are presented. It is shown that, if autoparametric self-action is used, the chaotization of oscillations becomes more developed and is realized even if just regular oscillations are excited without additional feedback.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. A. Kotyrev and L. B. Pliss, Radiotekh. Elektron. (Moscow) 10, 1628 (1965).
V. B. Dikhtyar, Radiotekh. Elektron. (Moscow) 22, 969 (1977).
M. S. Mackey and L. Glass, Science 197(4300), 287 (1977).
V. Ya. Kislov, N. N. Zalogin, and E. A. Myasin, Radiotekh. Elektron. (Moscow) 24, 1118 (1979).
V. B. Dikhtyar and V. Ya. Kislov, Radiotekh. Elektron. (Moscow) 24, 1564 (1979).
K. Ikeda, Opt. Comm. 30, 257 (1979).
V. Ya. Kislov, Radiotekh. Elektron. (Moscow) 25, 1683 (1980).
V. B. Dikhtyar and V. O. Starkov, Radiotekh. Elektron. (Moscow) 27, 2457 (1982).
S. P. Kuznetsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 25, 1410 (1982).
V. A. Solntsev and T. M. Andreevskaya, Radiotekh. Elektron. (Moscow) 28, 561 (1983).
V. A. Kats and S. P. Kuznetsov, Pis’ma Zh. Tekh. Fiz. 13, 727 (1987).
E. V. Kal’yanov and S. O. Starkov, Pis’ma Zh. Tekh. Fiz. 18(23), 49 (1992).
E. V. Kal’yanov, Radiotekh. Elektron. (Moscow) 38, 287 (1993).
E. V. Kal’yanov, Radiotekh. Elektron. (Moscow) 39, 2014 (1994).
E. V. Kal’yanov, Radiotekh. Elektron. (Moscow) 41, 979 (1996) [J. Commun. Technol. Electron. 41, 914 (1996)].
E. V. Kal’yanov, Radiotekh. Elektron. (Moscow) 42, 715 (1997) [J. Commun. Technol. Electron. 42, 658 (1997)].
I. A. Man’kin and V. G. Shkol’nikov, Radiotekh. Elektron. (Moscow) 29, 307 (1984).
I. A. Man’kin and V. G. Shkol’nikov, Radiotekh. Elektron. (Moscow) 30, 111 (1985).
I. N. Struchkov, Radiotekh. Elektron. (Moscow) 38, 454 (1993).
S. N. Vladimirov, Izv. Vyssh. Uchebn. Zaved., Fiz. 41, 104 (1998).
E. V. Kal’yanov, Radiotekh. Elektron. (Moscow) 40, 936 (1995).
R. V. Belyaev, E. V. Kal’yanov, V. Ya. Kislov, et al., Pis’ma Zh. Tekh. Fiz. 25(8), 33 (1999).
E. V. Kal’yanov, Pis’ma Zh. Tekh. Fiz. 23(14), 66 (1997).
A. Blaquiere, Nonlinear System Analysis (Academic Press, New York, 1967; Mir, Moscow, 1969).
J. Xu and K. W. Chung, Physica D 180, 17 (2003).
Additional information
Original Russian Text © E.V. Kal’yanov, 2009, published in Radiotekhnika i Elektronika, 2009, Vol. 54, No. 10, pp. 1245–1251.
Rights and permissions
About this article
Cite this article
Kal’yanov, E.V. Multimode self-sustained oscillatory system with additional autoparametric feedback. J. Commun. Technol. Electron. 54, 1183–1188 (2009). https://doi.org/10.1134/S1064226909100106
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226909100106