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

For citation:

Ponomarenko V. P., Matrosov V. V. Regimes of behaviour in the system of coupled oscillators with phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 4, pp. 52-65. DOI: 10.18500/0869-6632-2000-8-4-52-65

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2000-8-4-52-65

Regimes of behaviour in the system of coupled oscillators with phase control

Autors: 
Ponomarenko Valerij Pavlovich, Institute of Applied Mathematics and Cybernetics. Nizhny Novgorod state University
Matrosov Valerij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

The dynamical system on phase torus is considered which describe the behaviour of the coupled phase locked loops. Possible regimes of the system’s behaviour depending on initial frequency mismatch, control circuit coefficients of amplification and coupling extent through controlling signal are investigated. Evaluations of capture range are obtained.

Key words: 
-
Acknowledgments: 
The work was supported by the program "Universities of Russia" (project 03.01.33) and RFBR (project 99-02-17742).
Reference: 
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Received: 
13.06.2000
Accepted: 
24.08.2000
Published: 
23.10.2000
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