We investigate the simplest quintessence dissipative dark matter attractor
cosmology characterized by a constant quintessence baryotropic index and a
power-law expansion. We show a class of accelerated coincidence-solving att
ractor solutions converging to this asymptotic behavior. Despite its simpli
city, such a ''superattractor'' regime provides a model of the recent unive
rse that also exhibits an excellent fit to supernovae luminosity observatio
ns and no age conflict. Our best fit gives alpha = 1.71 +/- 0.29 for the po
wer-law exponent. We calculate for this regime the evolution of density and
entropy perturbations.