Strong and weak chaos in networks of semiconductor lasers with time-delayed couplings

Sven Heiligenthal, Thomas Jüngling, Otti D’Huys, Diana A. Arroyo-Almanza, Miguel C. Soriano, Ingo Fischer, Ido Kanter, and Wolfgang Kinzel
Phys. Rev. E 88, 012902 – Published 8 July 2013

Abstract

Nonlinear networks with time-delayed couplings may show strong and weak chaos, depending on the scaling of their Lyapunov exponent with the delay time. We study strong and weak chaos for semiconductor lasers, either with time-delayed self-feedback or for small networks. We examine the dependence on the pump current and consider the question of whether strong and weak chaos can be identified from the shape of the intensity trace, the autocorrelations, and the external cavity modes. The concept of the sub-Lyapunov exponent λ0 is generalized to the case of two time-scale-separated delays in the system. We give experimental evidence of strong and weak chaos in a network of lasers, which supports the sequence of weak to strong to weak chaos upon monotonically increasing the coupling strength. Finally, we discuss strong and weak chaos for networks with several distinct sub-Lyapunov exponents and comment on the dependence of the sub-Lyapunov exponent on the number of a laser's inputs in a network.

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  • Received 5 October 2012

DOI:https://doi.org/10.1103/PhysRevE.88.012902

©2013 American Physical Society

Authors & Affiliations

Sven Heiligenthal1, Thomas Jüngling1,2, Otti D’Huys1, Diana A. Arroyo-Almanza2,*, Miguel C. Soriano2, Ingo Fischer2, Ido Kanter3, and Wolfgang Kinzel1

  • 1Institute of Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany
  • 2Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (UIB-CSIC), Campus Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain
  • 3Department of Physics, Bar-Ilan University, 52900 Ramat-Gan, Israel

  • *Also at: Centro de Investigaciones en Óptica, León 37150, Guanajuato, Mexico.

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Vol. 88, Iss. 1 — July 2013

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