Dynamics of two mutually coupled semiconductor lasers: Instantaneous coupling limit

Serhiy Yanchuk, Klaus R. Schneider, and Lutz Recke
Phys. Rev. E 69, 056221 – Published 25 May 2004

Abstract

We consider two semiconductor lasers coupled face to face under the assumption that the delay time of the injection is small. The model under consideration consists of two coupled rate equations, which approximate the coupled Lang-Kobayashi system as the delay becomes small. We perform a detailed study of the synchronized and antisynchronized solutions for the case of identical systems and compare results from two models: with the delay and with instantaneous coupling. The bifurcation analysis of systems with detuning reveals that self-pulsations appear via bifurcations of stationary (i.e., continuous wave) solutions. We discover the connection between stationary solutions in systems with detuning and synchronous (also antisynchronous) solutions of coupled identical systems. We also identify a codimension 2 bifurcation point as an organizing center for the emergence of chaotic behavior.

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  • Received 12 November 2003

DOI:https://doi.org/10.1103/PhysRevE.69.056221

©2004 American Physical Society

Authors & Affiliations

Serhiy Yanchuk*

  • Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany and Institute of Mathematics, Humboldt-University of Berlin, Unter den Linden 6, D-10099 Berlin, Germany

Klaus R. Schneider

  • Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany

Lutz Recke

  • Humboldt-University of Berlin, Institute of Mathematics, Unter den Linden 6, D-10099 Berlin, Germany

  • *Email address: yanchuk@wias-berlin.de
  • Email address: schneider@wias-berlin.de
  • Email address: recke@mathematik.hu-berlin.de

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Issue

Vol. 69, Iss. 5 — May 2004

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