Issue
EPL
Volume 86, Number 3, May 2009
Article Number 30003
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/86/30003
Published online 12 May 2009
EPL, 86 (2009) 30003
DOI: 10.1209/0295-5075/86/30003

Phase dynamics of two coupled oscillators under external periodic force

V. Anishchenko, S. Astakhov and T. Vadivasova

Saratov State University - Astrakhanskaya 83, Saratov, Russia

astakhovsv@chaos.ssu.runnet.ru

received 23 September 2008; accepted in final form 2 April 2009; published May 2009
published online 12 May 2009

Abstract
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