  The dynamical scaling behavior of hydrodynamic and non-hydrodynamic moments
of the distribution function is studied using third-order Chapman-Enskog
hydrodynamics and anisotropic hydrodynamics for systems undergoing Bjorken and
Gubser expansions, where exact solutions of the Boltzmann equation in
Relaxation Time Approximation (RTA) are available for comparison. While
dimensionless quantities like normalized shear, pressure anisotropy and
normalized entropy show at late times universal scaling relations with small
(large) Knudsen number for Bjorken (Gubser) flows, dimensionful quantities like
the entropy per unit rapidity do not. Although the two hydrodynamic
approximation schemes describe the exact attractors for normalized shear with
high accuracy, their description for the normalized entropy is less precise. We
attribute this to non-negligible couplings to non-hydrodynamic modes in the
entropy evolution.
