Published/Posted: October 3, 2012

Authors: Williams, C. R. S.; Sorrentino, F.; Murphy, T. E.; Roy, R.; Dahms, T.; Scholl, E.

Abstract: The study of group synchronization of delay coupled dynamical systems is of interest in the context of physical and biological systems. The delay-coupled nodes or oscillators are placed into groups based on different parameters or governing equations. In this case, it has been shown theoretically that nodes in the same group may identically and isochronally synchronize with the other nodes in the group, even if there is no direct intra-group coupling. We report experimental observations of group synchrony in a network of four nonlinear optoelectronic feedback loops that are segregated into two groups of two nodes each. Both nodes in a single group have identical parameters, which may be different from the parameters in the other group. All of the nodes are coupled to each node in the other group, but there is no intra-group coupling. We find that each node will identically synchronize with the other node in its group, but will have distinctly different dynamics than the nodes in the other group, to which it is directly coupled. We compare the experimental results with numerical simulations.

C. R. S. Williams, F. Sorrentino, T. E. Murphy, R. Roy, T. Dahms and E. Scholl, "Group Synchrony in an Experimental System of Delay-coupled Optoelectronic Oscillators", International Symposium on Nonlinear Theory and its Applications (NOLTA), Palma de Mallorca (Spain) (2012)