Physics Letters A
•We examine -experimentally and numerically- a two-dimensional nonlinear driven electrical lattice with honeycomb structure.
•We identify discrete breathers existing in the bulk and at the boundaries, either along the arm-chair or the zig-zag edges.
•Edge-localized breathers near the Dirac-point frequency while driving homogeneously the lattice subharmonically.
•This work can represent a starting point towards research of the interplay of nonlinearity and topology in a tractable system.
We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and inside the band of linear modes. We identify a number of discrete breathers both existing in the bulk and also (predominantly) ones arising at the domain boundaries, localized either along the arm-chair or along the zig-zag edges. The types of edge-localized breathers observed and computed emerge in distinct frequency bands near the Dirac-point frequency of the dispersion surface while driving the lattice subharmonically (in a spatially homogeneous manner). These observations/computations can represent a starting point towards the exploration of the interplay of nonlinearity and topology in an experimentally tractable system such as the honeycomb electrical lattice.
Palmero, F.; English, Lars Q.; Cuevas-Maraver, J.; and Kevrekidis, P.G., "Nonlinear Edge Modes in a Honeycomb Electrical Lattice Near the Dirac Points" (2020). Dickinson College Faculty Publications. Paper 1449.
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