  The dynamical aspect of accelerating cosmological model has been studied in
this paper in the context of modified symmetric teleparallel gravity, the
$f(Q)$ gravity. Initially, we have derived the dynamical parameters for two
well known forms of $f(Q)$ such as: (i) log-square-root form and (ii)
exponential form. The equation of state (EoS) parameter for the dark energy in
the $f(Q)$ gravity in both the models emerges into a dynamical quantity. At
present model-I shows the quintessence behavior and behave like the
$\Lambda$CDM at the late time whereas model-II shows phantom behaviour.
Further, the dynamical system analysis has been performed to determine the
cosmological behaviour of the models along with its stability behaviour. For
both the models the critical points are obtained and analysed the stability at
each critical points with phase portraits. The evolutionary behaviour of
density parameters for the matter-dominated, radiation-dominated, and dark
energy phases are also shown for both the models.
