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Title: Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices
Authors: Chong, Christopher
Wang, Yifang
Marechal, Donovan
Charalampidis, Efstathios G.
Molerón, Miguel
Martínez, Alejandro J.
Porter, Mason A.
Kevrekidis, Panayotis G.
Daraio, Chiara
Keywords: Engineering::Mechanical engineering
Issue Date: 2021
Source: Chong, C., Wang, Y., Marechal, D., Charalampidis, E. G., Molerón, M., Martínez, A. J., Porter, M. A., Kevrekidis, P. G. & Daraio, C. (2021). Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices. New Journal of Physics, 23(4), 043008-.
Journal: New Journal of Physics 
Abstract: We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets. In our experiments, we arrange a lattice in a hexagonal configuration with a light-mass defect, and we harmonically drive the center of the chain with a tunable excitation frequency, amplitude, and angle. We use a damped, driven variant of a vector Fermi-Pasta-Ulam-Tsingou lattice to model our experimental setup. Despite the idealized nature of this model, we obtain good qualitative agreement between theory and experiments for a variety of dynamical behaviors. We find that the spatial decay is direction-dependent and that drive amplitudes along fundamental displacement axes lead to nonlinear resonant peaks in frequency continuations that are similar to those that occur in one-dimensional damped, driven lattices. However, we observe numerically that driving along other directions results in asymmetric NLMs that bifurcate from the main solution branch, which consists of symmetric NLMs. We also demonstrate both experimentally and numerically that solutions that appear to be time-quasiperiodic bifurcate from the branch of symmetric time-periodic NLMs.
ISSN: 1367-2630
DOI: 10.1088/1367-2630/abdb6f
Schools: School of Mechanical and Aerospace Engineering 
Rights: © 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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