We report the experimental observation of modulational instability and discrete breathers in
a one-dimensional diatomic granular crystal composed of compressed elastic beads that …

We present a systematic study of the existence and stability of discrete breathers that are
spatially localized in the bulk of a one-dimensional chain of compressed elastic beads that …

We study localized modes in uniform one-dimensional chains of tightly packed and
uniaxially compressed elastic beads in the presence of one or two light-mass impurities. For …

The study of granular crystals, which are nonlinear metamaterials that consist of closely
packed arrays of particles that interact elastically, is a vibrant area of research that combines …

We prove nonexistence of breathers (spatially localized and time-periodic oscillations) for a
class of Fermi–Pasta–Ulam lattices representing an uncompressed chain of beads …

We investigate the tunable vibration filtering properties of statically compressed one-
dimensional diatomic granular crystals composed of arrays of stainless steel spheres and …

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

We analyze the properties of breathers (time periodic spatially localized solutions) on chains
in the presence of algebraically decaying interactions 1/r s. We find that the spatial decay of …

We provide a quantitative characterization of dissipative effects in one-dimensional granular
crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and …

We show for the first time that highly localized in-plane breathers can propagate in specific
directions with minimal lateral spreading in a model 2D hexagonal nonlinear lattice. The …