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

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Ponomarenko V. P. Peculiarities of complex dynamics and transitions to chaotic regimes in the model of two interacting systems with phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 5, pp. 73-93. DOI: 10.18500/0869-6632-2006-14-5-73-93

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Peculiarities of complex dynamics and transitions to chaotic regimes in the model of two interacting systems with phase control

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

The work is devoted to investigation of complex dynamics in the model of two interacting systems with phase and delay control. Stability conditions of synchronous regime are determined. The processes of excitement of nonsynchronous regimes and transitions between them are considered. Scenarios of development of nonsynchronous regimes under variation of the systems parameters are determined. Routes to chaotic behavior of the model are discussed. Results are presented in the form of one-parameter bifurcation diagrams and phase portraits of the model attractors.

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