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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 2, Pages 237–252
(Mi nd91)
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This article is cited in 27 scientific papers (total in 27 papers)
Numerical and experimental study of external synchronization of two-frequency oscillations
V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova, A. V. Feoktistov International Research Institute of Nonlinear Dynamics, Saratov State University
Abstract:
The effect of synchonization has been studied in a system of two coupled Van der Pol oscillators under external harmonic force. The bifurcation analysis has been carried out using the phase approach. The mechanisms of complete and partial synchronization have been established. The main type of bifurcation described in the paper is the saddle-node bifurcation of invariant curves that corresponds to the saddle-node bifurcation of two-dimensional tori in the complete system of differential equations for the dynamical system under study. We illustrate the bifurcational mechanisms obtained from numerical experiment by the results of physical experiment. The synchronization phenomenon in the vicinity of resonances on a torus with winding numbers $1:1$ and $1:3$ is considered in the physical experiment.
Keywords:
limit cycle, torus, saddle-node bifurcation, synchronization.
Received: 10.03.2009
Citation:
V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova, A. V. Feoktistov, “Numerical and experimental study of external synchronization of two-frequency oscillations”, Nelin. Dinam., 5:2 (2009), 237–252
Linking options:
https://www.mathnet.ru/eng/nd91 https://www.mathnet.ru/eng/nd/v5/i2/p237
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Abstract page: | 484 | Full-text PDF : | 159 | First page: | 1 |
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