  We study the effects of a class of features of the potential of slow-roll
inflationary models corresponding to a step symmetrically dumped by an even
power negative exponential factor, which we call local features. Local-type
features differ from other branch-type features considered previously, because
the potential is only affected in a limited range of the scalar field value,
and are symmetric respect to the location of the feature. This type of features
only affects the spectrum and bispectrum in a narrow range of scales which
leave the horizon during the time interval corresponding to the modification of
the potential. On the contrary branch-type features have effects on all the
perturbation modes leaving the horizon when the field value is within the
interval defining the branch, introducing for example differences in the power
spectrum between large and small scale which are absent in the case of
local-type features. The spectrum and bispectrum of primordial curvature
perturbations are affected by oscillations around the scale $k_0$ exiting the
horizon at the time $\tau_0$ corresponding to the feature. We also compute the
effects of the features on the CMB temperature and polarization spectra,
showing the effects or different choices of parameters.
