Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

It is well known that periodic discrete defect-containing systems support both traveling
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …

One-dimensional strongly nonlinear phononic crystals were assembled from chains of PTFE
(polytetrafluoroethylene) and stainless-steel spheres with gauges installed inside the beads …

One-dimensional “sonic vacuum” type phononic crystals were assembled from a chain of
polytetrafluoroethylene (PTFE, Teflon) spheres with different diameters in a Teflon holder. It …

Using asymptotic methods, we investigate whether discrete breathers are supported by a
two-dimensional Fermi–Pasta–Ulam lattice. A scalar (one-component) two-dimensional …

We study the properties of spatially localized and time-periodic excitations—discrete
breathers—in Fermi–Pasta–Ulam (FPU) chains. We provide a detailed analysis of their …

We introduce a topology-based nonlinear network model of protein dynamics with the aim of
investigating the interplay of spatial disorder and nonlinearity. We show that spontaneous …

Давно известно, что периодические дискретные системы, содержащие дефекты,
допускают наличие как бегущих волн, так и колебательных мод, локализованных на …

Strongly nonlinear phononic crystals were assembled from a chain of Parylene-C coated
steel spheres in a polytetrafluoroethylene holder. This system exhibits strongly nonlinear …

We demonstrate via numerical simulation that in the strongly nonlinear limit the β-Fermi-
Pasta-Ulam (β-FPU) system in thermal equilibrium behaves surprisingly like weakly …