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dc.contributor.author
Chong, Christopher
dc.contributor.author
Wang, Yifan
dc.contributor.author
Maréchal, Donovan
dc.contributor.author
Charalampidis, Efstathios G.
dc.contributor.author
Molerón, Miguel
dc.contributor.author
Martinez, Alejandro J.
dc.contributor.author
Porter, Mason A.
dc.contributor.author
Kevrekidis, Panayotis G.
dc.contributor.author
Daraio, Chiara
dc.date.accessioned
2021-05-02T09:46:17Z
dc.date.available
2021-05-01T05:19:52Z
dc.date.available
2021-05-02T09:46:17Z
dc.date.issued
2021-04
dc.identifier.issn
1367-2630
dc.identifier.other
10.1088/1367-2630/abdb6f
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/481846
dc.identifier.doi
10.3929/ethz-b-000481846
dc.description.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.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
IOP Publishing
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2021-04-05
ethz.journal.title
New Journal of Physics
ethz.journal.volume
23
en_US
ethz.journal.issue
4
en_US
ethz.journal.abbreviated
New J. Phys.
ethz.pages.start
043008
en_US
ethz.size
17 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
London
ethz.publication.status
published
en_US
ethz.date.deposited
2021-05-01T05:19:58Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2021-05-02T09:46:31Z
ethz.rosetta.lastUpdated
2024-02-02T13:36:39Z
ethz.rosetta.versionExported
true
ethz.COinS
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