  The behaviour of a chaotic system and its effect on existing quantum
correlation has been holographically studied in presence of non-conformality.
Keeping in mind the gauge/gravity duality framework, the non-conformality in
the dual field theory has been introduced by considering a Liouville type
dilaton potential for the gravitational theory. The resulting black brane
solution is associated with a parameter $\eta$ which represents the deviation
from conformality. The parameters of chaos, namely, the Lyapunov exponent and
butterfly velocity are computed by following the well-known shock wave
analysis. The obtained results reveal that presence of non-conformality leads
to suppression of the chaotic nature of a system. Further, for a particular
value of the non-conformal parameter $\eta$, the system achieves Lyapunov
stability resulting from the vanishing of both the Lyapunov exponent and as
well as butterfly velocity. Interestingly, this particular value of $\eta$
matches with the previously given upper bound of $\eta$ known as Gubser bound
in the literature. The effects of chaos and non-conformality on the existing
correlation of a thermofield doublet state have been quantified by
holographically computing the thermo mutual information in both the presence
and absence of the shock wave. Furthermore, the entanglement velocity is also
computed and the effect of non-conformality on it has been observed. Finally,
the obtained results for the Lyapunov exponent and the butterfly velocity have
also been computed from the pole-skipping analysis. The results from the two
approaches agree with each other.
