The European Physical Journal Special Topics

, Volume 226, Issue 3, pp 467–475

Periodic orbits and synchronous chaos in lasers unidirectionally coupled via saturable absorbers

Regular Article

DOI: 10.1140/epjst/e2016-60267-7

Cite this article as:
Doedel, E.J. & L., C.L. Eur. Phys. J. Spec. Top. (2017) 226: 467. doi:10.1140/epjst/e2016-60267-7
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Part of the following topical collections:
  1. Nonlinearity, Nonequilibrium and Complexity: Questions and Perspectives in Statistical Physics

Abstract

We study a model for two unidirectionally coupled molecular lasers with a saturable absorber. Our numerical bifurcation study shows the existence of isolas of in-phase periodic solutions as physical parameters change. There are also other non-isola in-phase and intermediate-phase families of periodic oscillations. The coupling parameter strongly affects the stability of these periodic solutions. 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.

Copyright information

© EDP Sciences and Springer 2017

Authors and Affiliations

  1. 1.Department of Computer ScienceConcordia UniversityMontréal, Québec H3G 1M8Canada
  2. 2.Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apdo.Puebla, Puebla 72570Mexico