Multiclustered chimeras in large semiconductor laser arrays with nonlocal interactions

J. Shena, J. Hizanidis, P. Hövel, and G. P. Tsironis
Phys. Rev. E 96, 032215 – Published 18 September 2017

Abstract

The dynamics of a large array of coupled semiconductor lasers is studied numerically for a nonlocal coupling scheme. Our focus is on chimera states, a self-organized spatiotemporal pattern of coexisting coherence and incoherence. In laser systems, such states have been previously found for global and nearest-neighbor coupling, mainly in small networks. The technological advantage of large arrays has motivated us to study a system of 200 nonlocally coupled lasers with respect to the emerging collective dynamics. Moreover, the nonlocal nature of the coupling allows us to obtain robust chimera states with multiple (in)coherent domains. The crucial parameters are the coupling strength, the coupling phase and the range of the nonlocal interaction. We find that multiclustered chimera states exist in a wide region of the parameter space and we provide quantitative characterization for the obtained spatiotemporal patterns. By proposing two different experimental setups for the realization of the nonlocal coupling scheme, we are confident that our results can be confirmed in the laboratory.

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  • Received 5 June 2017

DOI:https://doi.org/10.1103/PhysRevE.96.032215

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

J. Shena1,2, J. Hizanidis1,2,*, P. Hövel3,4, and G. P. Tsironis1,2,5

  • 1Crete Center for Quantum Complexity and Nanotechnology, Department of Physics, University of Crete, P. O. Box 2208, 71003 Heraklion, Greece
  • 2National University of Science and Technology MISiS, Leninsky prosp. 4, Moscow, 119049, Russia
  • 3Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
  • 4Bernstein Center for Computational Neuroscience Berlin, Humboldt-Universität zu Berlin, Philippstraße 13, 10115 Berlin, Germany
  • 5School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA

  • *hizanidis@physics.uoc.gr

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Vol. 96, Iss. 3 — September 2017

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