  The Galaxy inner parts are generally considered to be optically symmetric, as
well as kinematically symmetric for most massive early-type galaxies. At the
lower-mass end, many galaxies contain lots of small patches in their velocity
maps, causing their kinematics to be nonsmooth in small scales and far from
symmetry. These small patches can easily be mistaken for measurement
uncertainties and have not been well discussed. We used the comparison of
observations and numerical simulations to demonstrate the small patches
existence beyond uncertainties. For the first time we have found that the
fluctuation degrees have an approximate inverse loglinear relation with the
galaxy stellar surface mass densities. This tight relation among galaxies that
do not show obvious optical asymmetry that traces environmental perturbations
indicates that stellar motion in galaxies has inherent asymmetry besides
external environment influences. The degree of the kinetic asymmetry is closely
related to and constrained by the intrinsic properties of the host galaxy.
