Oscillation dynamics in active topological metamaterials

Abstract

Recent years have witnessed significant interest in topological insulators (TIs), a new form of mater with low scattering states along their edges. This property can be useful for the design of passive or active devices, like defect-tolerant waveguides or lasers with robust extended lasing modes. In this talk we will discuss another interesting application of TIs, namely synchronization of oscillators. We will show that connecting oscillators along the edges of TIs allows their synchronization via the TI edge states with low sensitivity over the oscillator locations and perturbations of their parameters. We will present results for the nonlinear dynamics of such systems and outline potential applications in phased array antennas.