ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Matrosov V. V., Kasatkin D. V. Particularities of dynamics of three cascade-coupled phase-locked loops. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 1, pp. 159-168. DOI: 10.18500/0869-6632-2004-12-1-159-168

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Russian
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Article
UDC: 
621.391.01

Particularities of dynamics of three cascade-coupled phase-locked loops

Autors: 
Matrosov Valerij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Kasatkin Dmitry Vladimirovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract: 

Results of investigations of dynamic modes of three phase-locked loops are presented. The influence of coupling parameters and initial frequency mismatch on synchronous and quasi-synchronous modes is studied. Domains of quasi-synchronous oscillations of controlled oscillators are allocated in the parameter space. The comparative analysis of dynamics of ensembles, consisting of two and three oscillators is carried out.

Key words: 
Acknowledgments: 
The work was supported by the RFBR (grants 02-02-17573, 03-02-06369), program «Universities of Russia» (project УР.03.01.027).
Reference: 

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Received: 
07.10.2003
Accepted: 
15.01.2004
Published: 
20.06.2004