| Issue |
EPL
Volume 86, Number 3, May 2009
|
|
|---|---|---|
| Article Number | 30003 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/86/30003 | |
| Published online | 12 May 2009 | |
Phase dynamics of two coupled oscillators under external periodic force
Saratov State University - Astrakhanskaya 83, Saratov, Russia
Corresponding author: astakhovsv@chaos.ssu.runnet.ru
Received:
23
September
2008
Accepted:
2
April
2009
The effect of synchronization has been studied in a system of two coupled Van der Pol oscillators under external harmonic force. The 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 this 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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 82.40.Bj – Oscillations, chaos, and bifurcations
© EPLA, 2009
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