Discrete breathers in a triangular β -Fermi-Pasta-Ulam-Tsingou lattice

Rita I. Babicheva, Alexander S. Semenov, Elvira G. Soboleva, Aleksey A. Kudreyko, Kun Zhou, Sergey V. Dmitriev

Research output: Contribution to journalArticlepeer-review


A practical approach to the search for (quasi-) discrete breathers (DBs) in a triangular β-FPUT lattice (after Fermi, Pasta, Ulam, and Tsingou) is proposed. DBs are obtained by superimposing localizing functions on delocalized nonlinear vibrational modes (DNVMs) having frequencies above the phonon spectrum of the lattice. Zero-dimensional and one-dimensional DBs are obtained. The former ones are localized in both spatial dimensions, and the latter ones are only in one dimension. Among the one-dimensional DBs, two families are considered: the first is based on the DNVMs of a triangular lattice, and the second is based on the DNVMs of a chain. We speculate that our systematic approach on the triangular β-FPUT lattice reveals all possible types of spatially localized oscillations with frequencies bifurcating from the upper edge of the phonon band as all DNVMs with frequencies above the phonon band are analyzed.

Original languageEnglish
Article number052202
JournalPhysical Review E
Issue number5
Publication statusPublished - May 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Discrete breathers in a triangular β -Fermi-Pasta-Ulam-Tsingou lattice'. Together they form a unique fingerprint.

Cite this