For citation:
Kasatkin D. V. The phenomenon of oscillation suppression in ensembles of coupled phase-locked loop systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 6, pp. 36-43. DOI: 10.18500/0869-6632-2009-17-6-36-43
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: 140)
Language:
Russian
Article type:
Article
UDC:
621.373.1
The phenomenon of oscillation suppression in ensembles of coupled phase-locked loop systems
Autors:
Kasatkin Dmitry Vladimirovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract:
The phenomenon of oscillation suppression in ensembles of coupled phase-locked loop systems is discussed. The investigation of this phenomenon was performed for ensembles of three and fifty cascade coupled phase-locked loop systems with first-order filter in control circuits and without it, respectively. The possibilities of oscillation suppression in a part of phase oscillators of ensembles are demonstrated. Domains of the analysed effect existence are determined in the parameter space.
Reference:
- Matrosov VV, Kasatkin DV. Dynamic operating modes of coupled phase controlled oscillators. Journal of Communications Technology and Electronics. 2003;48(6):637-644.
- Afraimovich VS, Nekorkin VI, Osipov GV, Shalfeev VD. Stability, Structures and Chaos in Nonlinear Synchronization Network. Gorky: IPFAN; 1989. (in Russian)
- Phase synchronization systems. Ed. Shahgildyan VV, Belustina LN. Moscow: Radio i svyaz; 1982. 289 p. (In Russian).
- Matrosov VV, Shalfeev VD, Kasatkin DV. Analysis of regions of chaotic oscillations in coupled phase systems. Radiophysics and Quantum Electronics. 2006;49(5):406–414. DOI: 10.1007/s11141-006-0073-6.
- Matrosov VV, Kasatkin DV. An analysis of excitation of chaotic oscillations in coupled generators with the phase control. Izvestiya VUZ. Applied Nonlinear Dynamics. 2003;11(4-5):31-43. (in Russian)
- Matrosov VV, Kasatkin DV. Particularities of dynamics for three cascade-coupled generators with phase control. Izvestiya VUZ. Applied Nonlinear Dynamics. 2004;12(1-2):159-168.
- Matrosov VV. Nonlinear dynamics of phase-locked loop with the second-order filter. Radiophys. Quantum Electron. 2006;49(3):239–249. DOI: 10.1007/s11141-006-0057-6.
- Kasatkin DV, Matrosov VV. Collective dynamics of small ensembles of coupled PLL systems. Proc. of the Int. Symposium «Topical Problems of Nonlinear Wave Physics». Nizhny Novgorod: IAP RAS; 2003. P. 137.
Received:
11.03.2009
Accepted:
11.04.2009
Published:
31.12.2009
Journal issue:
Short text (in English):
(downloads: 117)
- 1725 reads