  We go over our finding that the dynamics at the noise-perturbed edge of chaos
in logistic maps is comparable to that observed in supercooled liquids close to
vitrification. That is, the three major features of glassy dynamics in
structural glass formers, two-step relaxation, aging, and a relationship
between relaxation time and configurational entropy, are displayed by orbits
with vanishing Lyapunov exponent. The known properties in control-parameter
space of the noise-induced bifurcation gap play a central role in determining
the characteristics of dynamical relaxation at the chaos threshold. Time
evolution is obtained from the Feigenbaum RG transformation, it is expressed
analytically via q-exponentials, and described in terms of nonextensive
statistics. Key words: Glassy dynamics, ergodicity breakdown, edge of chaos,
external noise, nonextensive statistics
