  A characteristic feature of topological systems is the presence of robust
gapless edge states. In this work the effect of time-dependent perturbations on
the edge states is considered. Specifically we consider perturbations that can
be understood as changes of the parameters of the Hamiltonian. These changes
may be sudden or carried out at a fixed rate. In general, the edge modes decay
in the thermodynamic limit, but for finite systems a revival time is found that
scales with the system size. The dynamics of fermionic edge modes and Majorana
modes are compared. The effect of periodic perturbations is also referred
allowing the appearance of edge modes out of a topologically trivial phase.
