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 …

Thank you for opening the third edition of this monograph. The first edition [202] was
published in 1996 in the Lecture Notes in Control and Information Sciences series (vol. 220) …

The paper presents the main steps in the development of the strongly nonlinear wave
dynamics of discrete systems. The initial motivation was prompted by the challenges in the …

In the present work, we experimentally implement, numerically compute with, and
theoretically analyze a configuration in the form of a single column woodpile periodic …

We investigate the propagation dynamics of highly localized discrete breather modes in a
weak ferromagnetic spin lattice with on-site easy axis anisotropy due to crystal field effect …

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 …

The study of mechanics of granular media dates back to the era of Coulomb. He was the first
to postulate the yield condition for homogeneous solids and also conditions for failure in …

In this work, we study the wave propagation in a recently proposed acoustic structure, the
locally resonant granular crystal. This structure is composed of a one-dimensional granular …

The extension of collision models for single impacts between two bodies, to the case of
multiple impacts (which take place when several collisions occur at the same time in a …

Ordered granular structures have garnered considerable attention across various fields due
to their capacity to manipulate the transmission of mechanical energy and mitigate the …