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

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Ponomarenko V. P. Synchronization and development оf nonsynchronous regimes in coupled systems with phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 1, pp. 65-83. DOI: 10.18500/0869-6632-2002-10-1-65-83

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2002-10-1-65-83

Synchronization and development оf nonsynchronous regimes in coupled systems with phase control

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

Dynamical regimes and bifurcations in nonlinear model with two-and-half-degree-of-freedom are investigated, which describes the behaviour of two coupled phase-locked and delay-locked systems. One of the interacting systems demonstrates only regular regimes of behaviour while the other system exhibits both regular and chaotic regimes. Numerical simulations of the model reveals various periodic and chaotic oscillatory regimes. The boundaries of lock range are determined, scenarios of development of nonsynchronous regimes under variation of the system parameters are shown. The results are presented in the form of one- and two-parameter bifurcation diagrams.

Key words: 
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Acknowledgments: 
The work was supported by the scientific programme of the Ministry of Education of the Russian Federation "Universities of Russia - Fundamental Research" (project No. 992870) and the Russian Foundation for Basic Research (grant No. 99-02-17742).
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Received: 
26.11.2001
Accepted: 
20.12.2001
Available online: 
13.12.2023
Published: 
31.07.2002
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