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

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Ponomarenko V. P. Nonlinear effects in autooscillatory system with frequency-phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 4, pp. 66-84. DOI: 10.18500/0869-6632-2012-20-4-66-84

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2012-20-4-66-84

Nonlinear effects in autooscillatory system with frequency-phase control

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

Dynamical modes and nonlinear phenomena in the models of oscillatory system with frequency-phase control in the case of periodic nonlinear characteristics of frequency discriminator are investigated. Stability of synchronous mode is analyzed. The existences of a great number various periodic and chaotic nonsynchronous modes are established. Peculiarities of the system dynamics caused by parameters of frequency control loop are considered. The results are presented in the form of one- and two-parameter bifurcation diagrams, phase portraits, Poincare sections and waveforms of attractors. 

Key words: 
Systems with phase and frequency-phase control
dynamical behavior
synchronous and nonsynchronous modes
stability
bifurcation
attractors
phase portraits
dynamical chaos
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Received: 
19.07.2012
Accepted: 
19.07.2012
Published: 
31.10.2012
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