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Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points |
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| Institution: | 1. Grupo de Física No Lineal, Departamento de Física Aplicada I, Escuela Técnica Superior de Ingeniería Informática, Universidad de Sevilla, Avda Reina Mercedes s/n, E-41012 Sevilla, Spain;2. Department of Physics and Astronomy Dickinson College, Carlisle, PA, 17013, USA;3. Grupo de Física No Lineal, Departamento de Física Aplicada I, Universidad de Sevilla, Escuela Politécnica Superior, C/ Virgen de Africa, 7, 41011-Sevilla, Spain;4. Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Edificio Celestino Mutis, Avda Reina Mercedes s/n, E-41012 Sevilla, Spain;5. Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515, USA;6. Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK |
| Abstract: | 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. |
| Keywords: | Intrinsic localized modes Discrete breathers Edge breathers |
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