Compact discrete breathers on flat-band networks
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 famil...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Zitieren: | Compact discrete breathers on flat-band networks / C. Danieli, A. Maluckov, S. Flach // Физика низких температур. — 2018. — Т. 44, № 7. — С. 865-876. — Бібліогр.: 43 назв. — англ. |
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Danieli, C. Maluckov, A. Flach, S. 2021-02-04T07:07:34Z 2021-02-04T07:07:34Z 2018 Compact discrete breathers on flat-band networks / C. Danieli, A. Maluckov, S. Flach // Физика низких температур. — 2018. — Т. 44, № 7. — С. 865-876. — Бібліогр.: 43 назв. — англ. 0132-6414 PACS: 71.10.–w, 71.10.Fd https://nasplib.isofts.kiev.ua/handle/123456789/176198 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. The authors acknowledge financial support from IBS (Project Code No. IBS-R024-D1). A.M. acknowledges support from the Ministry of Education and Science of Serbia (Project III45010). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Динамика нелинейных упругих сред Compact discrete breathers on flat-band networks Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Compact discrete breathers on flat-band networks |
| spellingShingle |
Compact discrete breathers on flat-band networks Danieli, C. Maluckov, A. Flach, S. Динамика нелинейных упругих сред |
| title_short |
Compact discrete breathers on flat-band networks |
| title_full |
Compact discrete breathers on flat-band networks |
| title_fullStr |
Compact discrete breathers on flat-band networks |
| title_full_unstemmed |
Compact discrete breathers on flat-band networks |
| title_sort |
compact discrete breathers on flat-band networks |
| author |
Danieli, C. Maluckov, A. Flach, S. |
| author_facet |
Danieli, C. Maluckov, A. Flach, S. |
| topic |
Динамика нелинейных упругих сред |
| topic_facet |
Динамика нелинейных упругих сред |
| publishDate |
2018 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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.
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| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/176198 |
| fulltext |
|
| citation_txt |
Compact discrete breathers on flat-band networks / C. Danieli, A. Maluckov, S. Flach // Физика низких температур. — 2018. — Т. 44, № 7. — С. 865-876. — Бібліогр.: 43 назв. — англ. |
| work_keys_str_mv |
AT danielic compactdiscretebreathersonflatbandnetworks AT maluckova compactdiscretebreathersonflatbandnetworks AT flachs compactdiscretebreathersonflatbandnetworks |
| first_indexed |
2025-11-24T06:45:48Z |
| last_indexed |
2025-11-24T06:45:48Z |
| _version_ |
1850844374152249344 |