Summary
Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications
2013
Session Number:C2L-C
Session:
Number:404
Synchronization patterns of an experimental ring of coupled optoelectronic oscillators
Francesco Sorrentino, Caitlin R. S. Williams, Thomas E. Murphy, Rajarshi Roy,
pp.404-404
Publication Date:
Online ISSN:2188-5079
Summary:
We experimentally study the complex dynamics of a unidirectionally coupled ring of four identical optoelectronic oscillators. The coupling between these systems is time-delayed in the experiment and can be varied over a wide range. We observe that as the coupling delay is varied, the system may show different synchronization states, including complete isochronal synchrony, cluster synchrony, and a splay-phase state. We are interested in understanding how these different states may emerge as the delay is varied. We analyze the stability problem through a master stability function approach, which we show can be effectively applied to all the different states observed in the experiment, including cluster synchrony and splay-phases. Our analysis points out the existence of multistability in the system. Our theoretical approach can be easily generalized to rings of arbitrary length and possibly bidirectional coupling.