  We consider a network of delay dynamical systems connected in a ring via
unidirectional positive feedback with constant delay in coupling. For the
specific case of Mackey-Glass systems on the ring topology, we capture the
phenomena of amplitude death, isochronous synchronization and phase-flip
bifurcation as the relevant parameters are tuned. Using linear stability
analysis and master stability function approach, we predict the region of
amplitude death and synchronized states respectively in the parameter space and
study the nature of transitions between the different states. For a large
number of systems in the same dynamical configuration, we observe splay states,
mixed splay states and phase locked clusters. We extend the study to the case
of digitized coupling and observe that these emergent states still persist.
However, the sampling and quantization reduce the regions of amplitude death
and induce phase-flip bifurcation.
