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

Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete
breathers. These solutions are time-periodic and (typically exponentially) localized in space …

" An exceptionally complete overview. There are numerous examples and the emphasis is
on applications to almost all areas of science and engineering. There is truly something for …

Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

An overview of the dynamics of one of the fundamental models of low-dimensional nonlinear
physics, the Frenkel–Kontorova (FK) model, is presented. In its simplest form, the FK model …

A brief review of the Fermi–Pasta–Ulam (FPU) paradox is given, together with its suggested
resolutions and its relation to other physical problems. We focus on the ideas and concepts …

It has been known for some time that nonlinearity and discreteness play important roles in
many branches of condensed-matter physics as evidenced by the appearance of domain …

We study a discrete electrical lattice where the dynamics of modulated waves can be
modeled by a generalized discrete nonlinear Schrödinger equation that interpolates …

We consider two types of strongly localized modes in discrete nonlinear lattices. Taking the
lattice nonlinear Schrödinger (NLS) equation as a particular but rather fundamental …

We present a partial review of results concerning the theory of Discrete Breathers in
nonlinear hamiltonian and discrete systems. These special time-periodic solutions gained …