Phase locked periodic solutions and synchronous chaos in a model of two coupled molecular lasers
1 Department of Computer Science, Concordia University, 1455 boulevard de Maisonneuve O., Montréal, Québec H3G 1M8, Canada
2 Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apdo. Postal J-48, Puebla, Puebla 72570, México
Received: 23 January 2016
Revised: 28 June 2016
Published online: 22 November 2016
We study a rate-equation model for two coupled molecular lasers with a saturable absorber. A numerical bifurcation study shows the existence of isolas for in-phase periodic solutions as physical parameters change. In addition there are other non-isola families of in-phase, anti-phase and intermediate-phase periodic oscillations. In this model the unstable periodic orbits belonging to the in-phase isolas constitute a skeleton of the attractor, when chaotic synchronization sets in for a set of physically relevant control parameters.
© EDP Sciences, Springer-Verlag, 2016