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We examine - both experimentally and numerically - a two-dimensionalnonlinear driven electrical lattice with honeycomb structure. Drives areconsidered over a range of frequencies both outside (below and above) andinside the band of linear modes. We identify a number of discrete breathersboth existing in the bulk and also (predominantly) ones arising at the domainboundaries, localized either along the arm-chair or along the zig-zag edges.The types of edge-localized breathers observed and computed emerge in distinctfrequency bands near the Dirac-point frequency of the dispersion surface whiledriving the lattice subharmonically (in a spatially homogeneous manner). Theseobservations/computations can represent a starting point towards theexploration of the interplay of nonlinearity and topology in an experimentallytractable system such as the honeycomb electrical lattice.

Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points