Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 10: Nonlinear Dynamics, Synchronisation and Chaos
DY 10.12: Talk
Tuesday, March 27, 2012, 12:30–12:45, MA 001
(contribution withdrawn) Synchronized Cluster Formation in Coupled Laser Networks — Micha Nixon1, Motti Fridman1, Eitan Ronen1, Asher Friesem1, Nir Davidson1, and •Ido Kanter2 — 1Weizmann Institute of Science, Dept. of Complex Systems, Rehovot, Israel — 2Bar-Ilan University, Dept. of Physics, Ramat-Gan, Israel
We experimentally investigated networks of up to seven lasers with homogeneous bidirectional time-delayed coupling and established the following fundamental rules governing their synchronization state [1]. A network exhibits only two synchronized states: zero-lag synchronization, where all the lasers are synchronized to each other, occurs for networks with at least one odd numbered loop. Or sub- lattice synchronization, where the network splits into two synchronized clusters of alternating lasers that are not synchronized with each other, occurs for networks comprised only of even numbered loops. This implies that the synchronization state of the network is governed by a non-local phenomenon; hence, it cannot be deduced by decomposing the network into sub-structures that maintain their individual synchronization states.
Very recently we extended the experimental investigation of synchronized cluster formation to unidirectional coupled laser networks with a much larger number of lasers that also include heterogeneous coupling delay time [2].
[1] M. Nixon, et. al., Phys. Rev. Lett., 106, 22 (2011).
[2] M. Nixon et al., submitted (2011).