Eur. Phys. J. D (2012) 66: 12
https://doi.org/10.1140/epjd/e2011-20396-4

Regular Article

Dynamics of an erbium-doped fiber dual-ring laser

Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil

^a e-mail: dfi2pcr@joinville.udesc.br

Received: 5 July 2011
Received in final form: 21 October 2011
Published online: 25 January 2012

Abstract

We report results of a numerical investigation on two-dimensional parameter-spaces of a set of four autonomous, seven-parameter, first-order ordinary differential equations, which models an erbium-doped fiber dual-ring laser. By using Lyapunov exponents to numerically characterize the dynamics of the model in the parameter-space, we show that it presents typical self-organized periodic structures embedded in a chaotic region.