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

For citation:

Ponomarenko V. P., Matrosov V. V. Dynamical regimes and bifurcations of two interacting synhronizing systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 6, pp. 51-65. DOI: 10.18500/0869-6632-1999-7-6-51-65

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-1999-7-6-51-65

Dynamical regimes and bifurcations of two interacting synhronizing systems

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

Dynamical states and bifurcation transitions are studied for the model of two coupled phase—locked and delay—locked systems. Both of the interacting systems exhibit only regular regimes of behavior. Numerical simulation of the equations which describe the dynamics of the system reveals various periodic and chaotic osciilatory regimes. The bifurcation diagram is determined, the regions with the state of phase synchronization, periodic and chaotic nonsynchronous regimes are found. Scenarios of development of nonsynchronous regimes are established under variation of the system parameters.

Key words: 
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Acknowledgments: 
This work was supported by the Federal Target Program "Integration" (project K0392) and RFBR (project 99-02-17742).
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Received: 
17.09.1999
Accepted: 
05.12.1999
Published: 
01.02.2000
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