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

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

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.

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

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