Geodesic
Chaos and Synchronization in Delayed System : Applications to Laser Networks
Valentin Flunkert1 ; Eckehard Schöll2
1 Instituto de Fisica Interdisciplinar y Sistemas Complejos, IFISC (UIB-CSIC), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain
2 Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
ESAIM. Proceedings, Tome 39 (2013), pp. 40-48.

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We discuss recent results on chaos synchronization of delayed systems. We investigate the limit of large coupling delays and discuss how in this limit the stability problem for the synchronized solution is drastically simplified. We use these results to derive rigorous conditions for chaos synchronization of all-optically coupled laser networks. In laser systems the optical coupling phases have to be taken into account and give rise to interference conditions. We show that the relative phases between lasers can be used to optimize the effective coupling matrix.
DOI : 10.1051/proc/201339006

Valentin Flunkert 1 ; Eckehard Schöll 2

1 Instituto de Fisica Interdisciplinar y Sistemas Complejos, IFISC (UIB-CSIC), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain
2 Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany 
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     author = {Valentin Flunkert and Eckehard Sch\"oll},
     title = {Chaos and {Synchronization} in {Delayed} {System} : {Applications} to {Laser} {Networks}},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc/201339006},
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Valentin Flunkert; Eckehard Schöll. Chaos and Synchronization in Delayed System : Applications to Laser Networks. ESAIM. Proceedings, Tome 39 (2013), pp. 40-48. doi : 10.1051/proc/201339006. http://geodesic.mathdoc.fr/articles/10.1051/proc/201339006/

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