  The Kasner spacetimes are exact solutions that are self-similar and of
significant interest because they can describe the dynamic evolution of
kinematic variables near the singularity of the Mixmaster universe. The chaotic
behavior of the Mixmaster universe is related to the Kasner relations. This
study investigates Kasner and Kasner-like solutions in symmetric teleparallel
$f\left( Q\right) $-gravity. We consider three families of connections for the
spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker. We found that
Kasner-like solutions are present in the theory when the nonmetricity scalar
$Q$ vanishes. Kasner-like relations are introduced only for the field equations
of the connection defined in the coincidence gauge. Finally, we perform a
detailed phase-space analysis to understand the dynamics of $f\left( Q\right)
$-gravity in the evolution of anisotropies and the effects of different
connections on this evolution.
