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 2 - Peculiarities of nonlinear dynamics of frequency-phase system with identical third-order filters in control circuits. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 3, pp. 77-93. DOI: 10.18500/0869-6632-2014-22-3-77-93

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Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2014-22-3-77-93

Regular and chaotic dynamics of two-ring phase locked system. Part 2 - Peculiarities of nonlinear dynamics of frequency-phase system with identical third-order filters in control circuits

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

The results of investigation of dynamical modes in the model of oscillatory system with  frequency-phase control using multi-frequency discriminator inversely switched inthe chain of  frequency control are presented. The study was carried out on the basis of mathematical model of  the system with two degrees 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 and chaotic modes of different complexity. 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
attractors
phase portraits
synchronous and non-synchronous modes
dynamical chaos
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Received: 
07.05.2014
Accepted: 
07.05.2014
Published: 
31.10.2014
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