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

For citation:

Ponomarenko V. P., Tikhonov E. A. Dynamics of a phase-frequency-feedback oscillator with an inverted frequency discriminator characteristic. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 6, pp. 75-91. DOI: 10.18500/0869-6632-2003-11-6-75-91

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2003-11-6-75-91

Dynamics of a phase-frequency-feedback oscillator with an inverted frequency discriminator characteristic

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

We consider dynamical states and bifurcations оf а phase-frequency-feedback oscillator models with an inverted frequency discriminator characteristic. On the basis of qualitative-numerical analysis, we found the parameter regions corresponding to monoharmonic, periodic and chaotic automodulation regimes of controlled oscillator. Scenarios of development of automodulation regimes under variation of the models parameters are established. The results are presented in the form оf one- and two-parameter bifurcation diagrams and phase portraits оf attractors.

Key words: 
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Acknowledgments: 
The work was supported by the Scientific Programme "Universities of Russia" (project UR.03.01.027) and RFBR (project No. 02-02-17573).
Reference: 
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Received: 
17.07.2003
Accepted: 
13.11.2003
Available online: 
06.12.2023
Published: 
31.12.2003
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