Statistics of chaos in a bursting laser

Wendson A. S. Barbosa, Edison J. Rosero, Jorge R. Tredicce, and José R. Rios Leite
Phys. Rev. A 99, 053828 – Published 20 May 2019

Abstract

We demonstrate experimentally how semiconductor lasers subjected to double optical feedback change the statistics of their chaotic spiking dynamics from Gaussian to long-tail power-law distributions associated to the emergency of bursting. These chaotic regimes, which are features of excitable complex systems, are quantified by the tail exponent α and appear by changing the ratio between the feedback times. Transitions to bursting occur in the neighborhood of low-order Farey fractions. The physics behind these transitions is related to the variation of threshold pump current in the compound system as obtained from a deterministic set of rate equations. Numerical integration also verifies the observed chaos transitions indicating the possibility of controlling the bursting chaotic statistics.

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  • Received 2 February 2019

DOI:https://doi.org/10.1103/PhysRevA.99.053828

©2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Atomic, Molecular & Optical

Authors & Affiliations

Wendson A. S. Barbosa1,*, Edison J. Rosero1,2, Jorge R. Tredicce1,3, and José R. Rios Leite1,†

  • 1Departamento de Física, Universidade Federal de Pernambuco, 50670-901, Recife, Brazil
  • 2Universidad del Pacífico, Departamento de Ciencias Naturales y Exactas, Buenaventura, 764503, Colombia
  • 3Université de la Nouvelle Caledonie (UNC), Pole Pluridisciplinaire de la Matiere et de l'Environnement (PPME), Noumea, EA3325, Nouvelle Caledonie

  • *wendson.barbosa@ufpe.br
  • rios@df.ufpe.br

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Issue

Vol. 99, Iss. 5 — May 2019

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