  We investigate theoretically skyrmion magnonic crystal, i.e., the dynamics of
the magnetization in a chain of the ferromagnetic nanodots being in skyrmion
magnetic configuration. We show that collective excitations are possible to be
observed in the structure. We present the dispersion relation of the coupled
skyrmions. It exhibit a periodical property in dependence on wave vector,
characteristic feature of the band structure in magnonic crystals. Spatial
analysis of the magnetization amplitude associated with the magnonic bands
confirms type of the excited modes, as breathing and clockwise gyrotropic
dynamical skyrmions. These high and low frequency excitations, propagate with
negative and positive group velocity, respectively, and can be explored for
study fundamental properties and technological applications in spintronics and
magnonics.
