  We consider homogeneous coupled cell networks with asymmetric inputs. We
obtain general results concerning codimension-one steady-state bifurcations for
networks with any number of cells and any number of asymmetric inputs. These
results rely solely on the network adjacency matrices eigenvalue structure and
the existence, or not, of network synchrony subspaces. For networks with
three-cells, we describe the possible lattices of synchrony subspaces annotated
with the eigenvalues on each synchrony subspace. Applying the previous results,
we classify the synchrony-breaking steady-state bifurcations that can occur for
three-cell minimal networks with one, two or six asymmetric inputs.
