Compact discrete breathers on flat-band networks
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, 865-876Funding / 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
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Institution/Community
VinčaTY - 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 . .