“…The growing interest upon these new materials stands in the chance to control vibrations and wave motion through the appropriate tailoring of the physical properties, without the need of external forces driven by an active control. Accordingly, a wide class of new applications arise both in the aerospace and mechanical engineering fields, ranging from cloaking, 5 energy absorption, 6 coupling of distant structures, 7,8 wave control, 9,10 but also swarm dynamics. 11,12 In all these cases, the new features produce effects in terms of changes in wave stability, the emergence of negative group velocity, 13 superfast group and phase propagation 14,15 and band gaps.…”