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arXiv · 1811.04523

Experimental and numerical observation of dark and bright discrete solitons in the band-gap of a diatomic-like electrical lattice

F. Palmero·L. Q. English·Xuan-Lin Chen·Weilun Li·Jesús Cuevas-Maraver·P. G. Kevrekidis
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Abstract

We observe dark and bright intrinsic localized modes (ILMs) or discrete breathers (DB) experimentally and numerically in a diatomic-like electrical lattice. The generation of dark ILMs by driving a dissipative lattice with spatially-homogenous amplitude is, to our knowledge, unprecedented. In addition, the experimental manifestation of bright breathers within the bandgap is also novel in this system. In experimental measurements the dark modes appear just below the bottom of the top branch in frequency. As the frequency is then lowered further into the band-gap, the dark DBs persist, until the nonlinear localization pattern reverses and bright DBs appear on top of the finite background. Deep into the bandgap, only a single bright structure survives in a lattice of 32 nodes. The vicinity of the bottom band also features bright and dark self-localized excitations. These results pave the way for a more systematic study of dark breathers and their bifurcations in diatomic-like chains.

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F. Palmero, L. Q. English, Xuan-Lin Chen, Weilun Li, Jesús Cuevas-Maraver, P. G. Kevrekidis. 2018-11-12. Experimental and numerical observation of dark and bright discrete solitons in the band-gap of a diatomic-like electrical lattice. https://doi.org/10.1103/physreve.99.032206

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