Chaos and Synchronization in Delayed System : Applications to Laser Networks
1 Instituto de Fisica Interdisciplinar
y Sistemas Complejos, IFISC (UIB-CSIC), Campus Universitat de les Illes
Palma de Mallorca,
2 Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
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.
© EDP Sciences, SMAI 2013