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

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Ponomarenko V. P. Bifurcations and oscillatory modes in complex system with phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 3, pp. 140-159. DOI: 10.18500/0869-6632-2010-18-3-140-159

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Bifurcations and oscillatory modes in complex system with phase control

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

The results are produced of research of dynamical modes and bifurcation in a complex system with phase control, based on mathematical model with two degrees of freedom in the cylindrical phase space. The location of domains corresponding to different dynamical states of the system is established. The processes developing in the system as a result of loss stability of the synchronous mode, and scenarios of evolution of nonsynchronous modes under variation of system parameters are investigated. The possibility to stimulate the generation of various periodic and chaotic oscillations changing the parameters of control loops inertia, coupling power and the initial frequency detuning is revealed.

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