  In a mesoscopic sample of a chiral $p\,$-wave superconductor, novel states
comprising skyrmions and edge states have been stabilized in out-of-plane
applied magnetic field. Using the time-dependent Ginzburg-Landau equations we
shed light on the dynamic response of such states to an external applied
current. Three different regimes are obtained, namely, the superconducting
(stationary), resistive (non-stationary) and normal regime, similarly to
conventional $s$-wave superconductors. However, in the resistive regime and
depending on the external current, we found that moving skyrmions and the edge
state behave distinctly different from the conventional kinematic vortex,
thereby providing new fingerprints for identification of $p\,$-wave
superconductivity.
