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


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Matrosov V. V., Shmelev A. V. Nonlinear dynamics of a ring of two coupled phase locked loops. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 67-80. DOI: 10.18500/0869-6632-2010-18-4-67-80

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Language: 
Russian
Article type: 
Article
UDC: 
621.391.01

Nonlinear dynamics of a ring of two coupled phase locked loops

Autors: 
Matrosov Valerij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Shmelev Aleksej Vjacheslavovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

Nonlinear dynamics of the ensemble consisting of two phase­locked generators, which are coupled in a ring with feedback, is discovered. The conditions of stability of the synchronous regimes and appropriatenesses of excitation and progress of the non­synchronous regimes are examined within the bounds of the dynamic model with one and a half degrees of freedom. The extensive image of the dynamic regimes and bifurcating transitions, creating resources for the formation in the system of various types of oscillations, is discovered. The ability of control of the dynamic regimes of the generators by the use of the partial subsystem’s parameters and the link parameters is examined.

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Received: 
03.12.2009
Accepted: 
25.03.2010
Published: 
29.10.2010
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