For citation:
Ponomarenko V. P., Kuzovkin S. A. Numerical simulation of asynchronous regimes in the system of coupled oscillators with phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 3, pp. 37-49. DOI: 10.18500/0869-6632-2000-8-3-37-49
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 0)
Language:
Russian
Article type:
Article
UDC:
621.391.01
Numerical simulation of asynchronous regimes in the system of coupled oscillators with phase control
Autors:
Ponomarenko Valerij Pavlovich, Institute of Applied Mathematics and Cybernetics. Nizhny Novgorod state University
Kuzovkin Sergei Aleksandrovich, Lobachevsky State University of Nizhny Novgorod
Abstract:
Results of numerical simulations of asynchronous regimes and bifurcations are presented in the dynamical model of two coupled oscillation systems with phase and delay control. Peculiarities of system’s behaviour after disturbance of synchronous regime are studied. Complex periodical, quasi—periodical and chaotic asynchronous regimes are found, that are impossible in autonomous partial oscillators.
Key words:
Acknowledgments:
The work was supported by the scientific program “Universities of Russia” of the Ministry of Education of the Russian Federation (code 015.03. 01.33), Federal target program "Integracion" (project K0392) and RFBR (grant № 99-02-17742).
Reference:
- Tuzov GI. Statistical Theory of Receiving Complex Signals. М.: Sovetskoe Radio; 1977. 400 p. (in Russian).
- Babich OA. Information Processing in Radio Navigation Complexes. M.: Mashinostroenie; 1991. 105 p. (in Russian).
- Ponomarenko VP. Study of the dynamics of the two-circuit pseudo-random radio signal synchronisation system. J. Commun. Technol. Electron. 1982;27(1):117-125. (in Russian).
- Belustina LN, Belykh VN. Qualitative study of the linamic system on the cylinder. Differential equations.1973;9(3):403-415. (in Russian).
- Belustina LN, Ponomarenko VP, Shalfeyev VD. On dynamics of follow-up system for binary pseudonoise signal delay. Radiophysics and Quantum Electronics. 1970;13(11):1669-1676. (in Russian).
- Ponomarenko VP, Matrosov VV. Automation of studies of nonlinear dynamics of synchronisation systems. Bulletin of the Upper Volga Branch of the Academy of Technological Sciences of the Russian Federation. High Technology in Radio Electronics. 1997;2(4):15-21. (in Russian).
- Bautin NN. Behaviour of dynamic systems near the boundaries of the stability area. М.: Nauka;1984. 176 p. (in Russian).
- Kislov VYa, Kislov VV. A new class of signals for information transmission. Broadband chaotic signals. J. Commun. Technol. Electron. 1997;42(8):962-973. (in Russian).
Received:
25.04.2000
Accepted:
29.05.2000
Published:
10.07.2000
Journal issue:
- 286 reads