Eur. Phys. J. Special Topics 225, 2613-2622 (2016)
https://doi.org/10.1140/epjst/e2016-60012-4

Regular Article

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

^a e-mail: doedel@cs.concordia.ca
^b e-mail: carlos@ifuap.buap.mx

Received: 23 January 2016
Revised: 28 June 2016
Published online: 22 November 2016

Abstract

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.