We study the butterfly effect and pole-skipping phenomenon for the 1RCBH
model which enjoys a critical point in its phase diagram. Using the holographic
idea, we compute the butterfly velocity and interestingly find that this
velocity can probe the critical behavior of this model. We calculate the
dynamical exponent of this quantity near the critical point and find a perfect
agreement with the value of the other quantity's dynamical exponent near this
critical point. We also find that at chaos point, the phenomenon of
pole-skipping appears which is a sign of a multivalued retarded correlation
function. We briefly address the butterfly velocity and pole-skipping for the
AdS-RN black hole solution which on its boundary a strongly coupled charged
field theory lives. For both of these models, we find vB2ββ₯cs2β at each
point of parameter space where csβ is the speed of sound wave propagation.Comment: 27 pages, 1 figuer