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

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Ponomarenko V. P. Dynamical processes in coupled system with phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 1, pp. 47-62. DOI: 10.18500/0869-6632-2003-11-1-47-62

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Dynamical processes in coupled system with phase control

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

Properties of collective behaviour of two coupled phase-locked аnd delay-locked systems are investigated. One of the systems demonstrates simple regular dynamics while the other system exhibits both regular and chaotic regimes. The bifurcation diagram is determined, the regions with the state of phase synchronization, periodic and chaotic nonsynchronous regimes of interacting systems are found. Scenarios of development of nonsynchronous regimes under variation of the system parameters are established. The possibilities оf control over properties аnd regions оf existence оf dynamical regimes are ascertained by changing оf system’s parameter values.

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This work was supported by the Scientific Programme "Universities of Russia" (project UR.03.01.027) and RFBR (project No. 02-02-17573).
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