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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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Nonlinear effects in autooscillatory system with frequency-phase control

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

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. 

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