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Compact discrete breathers on flat-band networks

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Authors
Danieli, Carlo
Maluckov, Aleksandra
Flach, Sergej
Article (Published version)
,
© 2018 Author(s)
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Abstract
Linear wave equations on flat-band networks host compact localized eigenstates (CLS). Nonlinear wave equations on translationally invariant flat-band networks can host compact discrete breathers-time-periodic and spatially compact localized solutions. Such solutions can appear as one-parameter families of continued linear compact eigenstates, or as discrete sets on families of non-compact discrete breathers, or even on purely dispersive networks with fine-tuned nonlinear dispersion. In all cases, their existence relies on destructive interference. We use CLS amplitude distribution properties and orthogonality conditions to derive existence criteria and stability properties for compact discrete breathers as continued CLS. Published by AIP Publishing.
Source:
Low Temperature Physics, 2018, 44, 7, 865-876
Funding / projects:
  • Photonics of micro and nano structured materials (RS-45010)
  • IBS (IBS-R024-D1)
Note:
  • Pre-print version available at: http://vinar.vin.bg.ac.rs/123456789/7918

DOI: 10.1063/1.5041434

ISSN: 1063-777X

WoS: 000437710600010

Scopus: 2-s2.0-85049657756
[ Google Scholar ]
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URI
http://aip.scitation.org/doi/10.1063/1.5041434
https://vinar.vin.bg.ac.rs/handle/123456789/7914
Collections
  • Radovi istraživača
Institution/Community
Vinča
TY  - JOUR
AU  - Danieli, Carlo
AU  - Maluckov, Aleksandra
AU  - Flach, Sergej
PY  - 2018
UR  - http://aip.scitation.org/doi/10.1063/1.5041434
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7914
AB  - Linear wave equations on flat-band networks host compact localized eigenstates (CLS). Nonlinear wave equations on translationally invariant flat-band networks can host compact discrete breathers-time-periodic and spatially compact localized solutions. Such solutions can appear as one-parameter families of continued linear compact eigenstates, or as discrete sets on families of non-compact discrete breathers, or even on purely dispersive networks with fine-tuned nonlinear dispersion. In all cases, their existence relies on destructive interference. We use CLS amplitude distribution properties and orthogonality conditions to derive existence criteria and stability properties for compact discrete breathers as continued CLS. Published by AIP Publishing.
T2  - Low Temperature Physics
T1  - Compact discrete breathers on flat-band networks
VL  - 44
IS  - 7
SP  - 865
EP  - 876
DO  - 10.1063/1.5041434
ER  - 
@article{
author = "Danieli, Carlo and Maluckov, Aleksandra and Flach, Sergej",
year = "2018",
abstract = "Linear wave equations on flat-band networks host compact localized eigenstates (CLS). Nonlinear wave equations on translationally invariant flat-band networks can host compact discrete breathers-time-periodic and spatially compact localized solutions. Such solutions can appear as one-parameter families of continued linear compact eigenstates, or as discrete sets on families of non-compact discrete breathers, or even on purely dispersive networks with fine-tuned nonlinear dispersion. In all cases, their existence relies on destructive interference. We use CLS amplitude distribution properties and orthogonality conditions to derive existence criteria and stability properties for compact discrete breathers as continued CLS. Published by AIP Publishing.",
journal = "Low Temperature Physics",
title = "Compact discrete breathers on flat-band networks",
volume = "44",
number = "7",
pages = "865-876",
doi = "10.1063/1.5041434"
}
Danieli, C., Maluckov, A.,& Flach, S.. (2018). Compact discrete breathers on flat-band networks. in Low Temperature Physics, 44(7), 865-876.
https://doi.org/10.1063/1.5041434
Danieli C, Maluckov A, Flach S. Compact discrete breathers on flat-band networks. in Low Temperature Physics. 2018;44(7):865-876.
doi:10.1063/1.5041434 .
Danieli, Carlo, Maluckov, Aleksandra, Flach, Sergej, "Compact discrete breathers on flat-band networks" in Low Temperature Physics, 44, no. 7 (2018):865-876,
https://doi.org/10.1063/1.5041434 . .

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