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

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Ponomarenko V. P. Dynamical regimes, bifurcations and transitions to chaotic behavior in models of coupled synchronizing systems for complex signal. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 1, pp. 18-37. DOI: 10.18500/0869-6632-2005-13-1-18-37

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Dynamical regimes, bifurcations and transitions to chaotic behavior in models of coupled synchronizing systems for complex signal

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

Results of investigation of nonlinear dynamics in models of two coupled phase-locked and delay-locked systems are presented. Stability conditions of synchronous regime and the boundaries of locked range are determined. The parameter regions corresponding 10 various periodic and chaotic nonsynchronous regimes of the-systems are found. Peculiarities of the systems behavior in the process of transition to the state of signal parameters synchronous tracking are studied.

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The work was supported by program "Universities of Russia - Fundamental Research" (project УР.03.01.014) and the RFBR (project 02-02-17573).
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