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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 18 — Aug. 27, 2012
  • pp: 19683–19689

Phase transition in crowd synchrony of delay-coupled multilayer laser networks

Elad Cohen, Michael Rosenbluh, and Ido Kanter  »View Author Affiliations


Optics Express, Vol. 20, Issue 18, pp. 19683-19689 (2012)
http://dx.doi.org/10.1364/OE.20.019683


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Abstract

An analogy between crowd synchrony and multi-layer neural network architectures is proposed. It indicates that many non-identical dynamical elements (oscillators) communicating indirectly via a few mediators (hubs) can synchronize when the number of delayed couplings to the hubs or the strength of the couplings is large enough. This phenomenon is modeled using a system of semiconductor lasers optically delay-coupled in either a fully connected or a diluted manner to a fixed number of non-identical central hub lasers. A universal phase transition to crowd synchrony with hysteresis is observed, where the time to achieve synchronization diverges near the critical coupling independent of the number of hubs.

© 2012 OSA

OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(200.4700) Optics in computing : Optical neural systems
(270.3100) Quantum optics : Instabilities and chaos
(060.4258) Fiber optics and optical communications : Networks, network topology
(060.4263) Fiber optics and optical communications : Networks, star

ToC Category:
Optics in Computing

History
Original Manuscript: June 11, 2012
Manuscript Accepted: July 28, 2012
Published: August 13, 2012

Citation
Elad Cohen, Michael Rosenbluh, and Ido Kanter, "Phase transition in crowd synchrony of delay-coupled multilayer laser networks," Opt. Express 20, 19683-19689 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-18-19683


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