Before revision:  First, we show how network topology determines network dynamics by analytically and numerically demonstrating that network topology can be designed to propagate stimulus patternsfor long durations. We then identify strongly connected cycles as empirically observable network motifs that are prevalent in such networks.
After revision:  First, we show how network topology determines network dynamics by analytically and numerically demonstrating that network topology can be designed to temporally extend the propagation and recovery of certain stimulus patterns. Moreover, we observe cycles as structural and dynamic motifs that are prevalent in such networks.