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Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
Article . 2019 . Peer-reviewed
License: Royal Society Data Sharing and Accessibility
Data sources: Crossref
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zbMATH Open
Article . 2019
Data sources: zbMATH Open
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Resonant waves and localization phenomena in lattices

Authors: Sagdulla A. Abdukadirov; Mark V. Ayzenberg-Stepanenko; Gregory G. Osharovich;

Resonant waves and localization phenomena in lattices

Abstract

Transient wave processes in mass-spring lattices excited by point oscillating sources are studied. Dispersion properties of uniform periodic three-dimensional (3D) square-cell and two-dimensional (2D) hexagonal-cell lattices including revealed star-shaped localization phenomena are analysed. The resonant-like waves and localization-like patterns in non-uniform lattices possessing predetermined and randomly distributed defects are numerically examined in order to identify the sensitivity of star-shape forms to different types of defects. This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 1)’.

Keywords

localization patterns, computer modelling, mechanical engineering, lattice dynamics, Linear waves in solid mechanics, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, resonant waves

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
bronze