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Nonlinear localized modes in two-dimensional electrical lattices

Opened Access Nonlinear localized modes in two-dimensional electrical lattices
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Autor: English, Lars Q.
Palmero Acebedo, Faustino
Stormes, Joseph F.
Cuevas-Maraver, Jesús
Carretero-González, Ricardo
Kevrekidis, Panayotis G.
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2013
Publicado en: Physical Review E (2013, v. 88, n. 2, p. 022912:1-6)
Tipo de documento: Artículo
Resumen: We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and moving self-localized modes were generated experimentally and theoretically in a family of two-dimensional square as well as honeycomb lattices composed of 6 × 6 elements. Specifically, we find regions in driver voltage and frequency where stationary discrete breathers, also known as intrinsic localized modes (ILMs), exist and are stable due to the interplay of damping and spatially homogeneous driving. By introducing additional capacitors into the unit cell, these lattices can controllably induce mobile discrete breathers. When more than one such ILMs are experimentally generated in the lattice, the interplay of nonlinearity, discreteness, and wave interactions generates a complex dynamics wherein the ILMs attempt to maintain a minimum distance between one another. Numerical simulations show good agreement with experimental res...
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