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

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Ponomarenko V. P. Regular and chaotic dynamics of two-ring phase locked system. Part 1 - Dynamics of frequency-phase system with identical first-order filters in control circuits. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 25-35. DOI: 10.18500/0869-6632-2014-22-2-25-35

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2014-22-2-25-35

Regular and chaotic dynamics of two-ring phase locked system. Part 1 - Dynamics of frequency-phase system with identical first-order filters in control circuits

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

We present the results of investigation of dynamical modes in the model of oscillatory system with frequency-phase control using multi-frequency discriminator inversely switched in the chain of frequency control. The study was carried out on the basis of mathematical model of the system with one degree of freedom with the use of qualitative and numerical methods of nonlinear dynamics. It is shown that in such a system may be realized both synchronous and great number of non-synchronous periodic modes. Location parameters domains are established with different dynamic modes of the system. The processes developing in the domain of instability of the synchronous mode are considered.

Key words: 
Systems with frequency-phase control
dynamical states
stability
bifurcation
phase portraits
synchronous and non-synchronous modes
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Received: 
30.01.2014
Accepted: 
28.04.2014
Published: 
31.07.2014
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