Resonant waves and localization phenomena in lattices

Sagdulla A. Abdukadirov, Mark V. Ayzenberg-Stepanenko, Gregory G. Osharovich

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Transient wave processes in mass-spring lattices excited by point oscillating sources are studied. Dispersion properties of uniform periodic threedimensional (3D) square-cell and two-dimensional (2D) hexagonal-cell lattices including revealed starshaped 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 starshape forms to different types of defects.

Original languageEnglish
Article number20190110
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2156
StatePublished - 21 Oct 2019


  • Computer modelling
  • Lattice dynamics
  • Localization patterns
  • Resonant waves

ASJC Scopus subject areas

  • Mathematics (all)
  • Engineering (all)
  • Physics and Astronomy (all)


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