Based on quantitative kinetic simulations of the GARD model, we have been able to provide concrete formal evidence that a reproducing state of a catalytic network is a dynamic attractor. Studies of life and life-like complex networks suggest that their dynamic fates may represent attractors , and that changes in the behavior of a living cell could be interpreted as switching among attractor basins . Some of these accounts go as far as using the term "attractor-based" as a synonym for self-reproducing network-containing assemblies. However, explicit kinetic evidence showing that attractor dynamics can lead from a random non-reproducing assembly to a reproducing one has not been pursued. A prominent case in point is the hypercycle model, a professed epitome of a reproducing catalytic network . The authors admit that for the mechanisms of template-directed polymerization and translation, the rate equations contain only the population counts of the complete macromolecules. Hence, chain initiation and propagation steps are not considered explicitly, averting a capacity to examine a relationship between attractor and reproduction states.