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

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Ponomarenko V. P. Dynamical regimes and nonlinear phenomena in generator with frequency-phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 6, pp. 18-40. DOI: 10.18500/0869-6632-2008-16-6-18-40

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2008-16-6-18-40

Dynamical regimes and nonlinear phenomena in generator with frequency-phase control

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

The paper represents the results of numerical study of dynamical regimes and bifurcation transitions in oscillatory system with frequency-phase control. The study was carried out on the base of mathematical model with three degrees or freedom in cylindrical phase space. Rich variety of various attractors of oscillatory and rotatory type corresponding to modulating modes of the system has been detected. Various scenarios of transition from regular dynamical regimes to chaotic ones under variation of the control loops parameters are analyzed. Strong dependence of oscillatory modes on these parameters that allow to control of modulating modes is established.

Key words: 
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Reference: 
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Received: 
09.07.2008
Accepted: 
09.07.2008
Published: 
27.02.2009
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