  In this manuscript, we investigate the patterns satisfied by the cosmological
anisotropy under the hypothesis of the observers being co-moving with a perfect
fluid whose induced space sections are homogeneous with vanishing scalar
curvature. We describe the positive increment $\Delta R$ that the Hubble
parameter in the anisotropic model will have as it is compared to its isotropic
counterpart. In general, it has an exponential awakening at a specific redshift
$z_A$. We also show that the deceleration and the jerk along the principal
directions of the anisotropy are constrained by simple algebraic equations that
do not depend on the type of matter present. These characteristic patterns form
a valuable framework to distinguish the cosmological anisotropy from any other
kind, thus adding a useful tool to probe its upper limits in the supernovae
surveys, which are orders of magnitude away from those observed in the CMB.
