For citation:
Bakunov G. M., Matrosov V. V., Shalfeev V. D. On quasi-synchronous regimes in a phase lock loop with the second-order filter and approximate inclusion of the delay. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 3, pp. 171-179. DOI: 10.18500/0869-6632-2011-19-3-171-179
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: 300)
Language:
Russian
Heading:
Article type:
Review
UDC:
621.391.01
On quasi-synchronous regimes in a phase lock loop with the second-order filter and approximate inclusion of the delay
Autors:
Bakunov Gleb Mihajlovich, Lobachevsky State University of Nizhny Novgorod
Matrosov Valerij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Shalfeev Vladimir Dmitrievich, Lobachevsky State University of Nizhny Novgorod
Abstract:
For a typical phase lock loop with the second-order filter and delayed feedback, conditions of appearance and characteristics of regular and chaotic automodulation regimes are studied.
Key words:
Reference:
- Shakhgildyan VV, Lyakhovkin AA. Phase Locking Systems. 2nd edition. Moscow: Svyaz; 1972. 446 p. (in Russian)
- Kapranov MV. Phase locked loop. Radio Engineering. 1956;11(12):37–52 (in Russian).
- Belyustina LN. Investigation of a nonlinear phase-locked loop system. Soviet Radiophysics. 1959;2(2):277–291 (in Russian).
- Bakunov GM, Matrosov VV, Shalfeev VD. On regular quasi-synchronous regimes in a phase-locked loop. Vestnik of Lobachevsky University of Nizhni Novgorod. 2010;(6):43–47 (in Russian).
- Dmitriev AS, Kletsov AV, Laktyushkin AM, Panas AI, Starkov SO. Ultrawideband wireless communications based on dynamic chaos. J. Commun. Technol. Electron. 2006;51(10):1126–1140. DOI: 10.1134/S1064226906100020.
- Matrosov VV, Shalfeev VD. Dynamic Chaos in Phase Systems. Nizhni Novgorod: UNN Publishing; 2007. 255 p. (in Russian).
- Bakunov GM, Matrosov VV, Shalfeev VD. On quasi-synchronous modes in a phase-locked loop with a second-order filter. Vestnik of Lobachevsky University of Nizhni Novgorod. 2011;(3):61–66 (in Russian).
- Matrosov VV. Dynamics of Nonlinear Systems. A Software Package for the Study of Nonlinear Dynamic Systems with Continuous Time: Educational and Methodological Development. Nizhni Novgorod: UNN Publishing; 2002. 54 p. (in Russian).
- Shilnikov LP. On some cases of the birth of periodic motions from singular trajectories. Mathematics of the USSR-Sbornik. 1963;61(4):443–466 (in Russian).
- Shilnikov LP. A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type. Mathematics of the USSR-Sbornik. 1970;10(1):91–102. DOI: 10.1070/SM1970v010n01ABEH001588.
- Bakunov GM. On self-modulation oscillations in a phase-locked loop system. In: Proceedings of the 9th International School “Chaotic Self-Oscillations and Formation of Structures”, October 4-9, 2010, Saratov, Russia. P. 74 (in Russian).
Received:
20.04.2011
Accepted:
20.04.2011
Published:
29.07.2011
Journal issue:
Short text (in English):
(downloads: 97)
- 2012 reads