Compact discrete breathers on flat-band networks

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Title
Compact discrete breathers on flat-band networks
Author(s)
Carlo Danieli; A. Maluckov; Sergej, Flach
Publication Date
2018-05
Journal
LOW TEMPERATURE PHYSICS, v.44, no.7, pp.865 - 876
Publisher
AMER INST PHYSICS
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 disper- sive 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 sta- bility properties for compact discrete breathers as continued CLS.
URI
https://pr.ibs.re.kr/handle/8788114/4542
ISSN
1063-777X
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
Files in This Item:
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