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We develop the characterization of the dynamics at the noise-perturbed edgeof chaos in logistic maps in terms of the quantities normally used to describeglassy properties in structural glass formers. Following the recognition [Phys.Lett. \textbf{A 328}, 467 (2004)] that the dynamics at this critical attractorexhibits analogies with that observed in thermal systems close tovitrification, we determine the modifications that take place with decreasingnoise amplitude in ensemble and time averaged correlations and in diffusivity.We corroborate explicitly the occurrence of two-step relaxation, aging with itscharacteristic scaling property, and subdiffusion and arrest for this system.We also discuss features that appear to be specific of the map.Comment: Revised version with substantial improvements. Revtex, 8 pages, 11  figure

Parallels between the dynamics at the noise-perturbed onset of chaos in logistic maps and the dynamics of glass formation