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Nelin. Dinam., 2009, Volume 5, Number 2, Pages 237–252 (Mi nd91)  

This article is cited in 25 scientific papers (total in 25 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.

Full text: PDF file (1357 kB)
UDC: 517.9
MSC: 39Axx, 93D05
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

Citation in format AMSBIB
\by V.~S.~Anishchenko, S.~V.~Astakhov, T.~E.~Vadivasova, A.~V.~Feoktistov
\paper Numerical and experimental study of external synchronization of two-frequency oscillations
\jour Nelin. Dinam.
\yr 2009
\vol 5
\issue 2
\pages 237--252

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