The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

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 …

We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally
periodic and spatially localized structures, in a two-dimensional array of repelling magnets …

A group-theoretical approach for studying localized periodic and quasiperiodic vibrations in
two-and three-dimensional lattice dynamical models is developed. This approach is …

We study the existence and stability of multibreathers in Klein–Gordon chains with
interactions that are not restricted to nearest neighbors. We provide a general framework …

We explore the energy transfer dynamics in an array of two chains of identical rigid
interacting dipoles. Varying the distance b between the two chains of the array, a crossover …

In this work, we revisit the question of stability of multibreather configurations, ie discrete
breathers with multiple excited sites at the anti-continuum limit of uncoupled oscillators. We …

In this work, we study the existence of, low amplitude, phase-shift multibreathers for small
values of the linear coupling in Klein–Gordon chains with interactions beyond the classical …

In the present paper, the form of stationary breather modes in a two-dimensional (2D) FPU-
KG spring mass lattice that exhibits square and hexagonal symmetry is studied. Inspired by …

С помощью теоретико-групповых методов для скалярных динамических моделей на
плоской квадратной решетке найдены все симметрийно обусловленные …