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 …

Lattice solitary traveling waves are nonlinear coherent structures that describe fundamental
mechanisms of energy transport and signal transmission in many physical settings. This …

It has been suggested that the big questions of science are answered–that science has
entered a “twilight age” where all the important knowledge is known and only the details …

We employ an evolutionary algorithm to investigate the optimal design of composite
protectors using one-dimensional granular chains composed of beads of various sizes …

This is a unique book that presents rigorous mathematical results on
FermiOCoPastaOCoUlam lattices, a field of great interest in nonlinear analysis, nonlinear …

We present an analytical study of the Fermi–Pasta–Ulam (FPU) α–model with periodic
boundary conditions. We analyze the dynamics corresponding to initial data with one low …

We establish the long-time stability of low-energy solitary waves in one-dimensional
nonintegrable lattices with Hamiltonian with a general nearest-neighbour potential V. As a …

Abstract Parts II, III and IV of this series are devoted to proving long time stability of solitary
waves in one-dimensional nonintegrable lattices with Hamiltonian with a general nearest …

We study travelling waves on a two-dimensional lattice with linear and nonlinear coupling
between nearest particles and a periodic nonlinear substrate potential. Such a discrete …

We consider a class of fully nonlinear Fermi–Pasta–Ulam (FPU) lattices, consisting of a
chain of particles coupled by fractional power nonlinearities of order α> 1. This class of …