Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices Article Swipe
Christopher Chong
,
Yifan Wang
,
Donovan Maréchal
,
E. G. Charalampidis
,
Miguel Molerón
,
Alejandro J. Martínez
,
Mason A. Porter
,
P. G. Kevrekidis
,
Chiara Daraio
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3929/ethz-b-000481846
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3929/ethz-b-000481846
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.
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- Type
- article
- Language
- en
- Landing Page
- http://hdl.handle.net/20.500.11850/481846
- http://hdl.handle.net/20.500.11850/481846
- OA Status
- green
- Cited By
- 20
- References
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- Related Works
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- OpenAlex ID
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Nonlinear localized modes in two-dimensional hexagonally-packed magnetic latticesWork title
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articleOpenAlex work type
- Language
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enPrimary language
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2021Year of publication
- Publication date
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2021-04-01Full publication date if available
- Authors
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Christopher Chong, Yifan Wang, Donovan Maréchal, E. G. Charalampidis, Miguel Molerón, Alejandro J. Martínez, Mason A. Porter, P. G. Kevrekidis, Chiara DaraioList of authors in order
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https://hdl.handle.net/20.500.11850/481846Publisher landing page
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https://hdl.handle.net/20.500.11850/481846Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://hdl.handle.net/20.500.11850/481846Direct OA link when available
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Physics, Condensed matter physics, Nonlinear system, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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20Total citation count in OpenAlex
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2025: 2, 2024: 6, 2023: 5, 2022: 3, 2021: 3Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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