  The effect of electron-electron interaction on Floquet topological
superconducting chains is investigated numerically through full diagonalization
and time evolution. The preservation of topology in the weak interacting regime
is represented by a many-body form of the Majorana survival probability, and
the emergence of chaos is characterized using the level statistics. In the
presence of weak interaction, there appear a multitude of avoided crossings in
quasi-energy spectra, and the resulting chaos is not full but can coexist with
the topology. Strong interaction will lead the system into a topologically
trivial and fully chaotic phase.
