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

Josephson-junction arrays are ideal model systems to study a variety of phenomena such as
phase transitions, frustration effects, vortex dynamics and chaos. In this review, we focus on …

We present the experimental detection of discrete breathers in an underdamped Josephson-
junction array. Breathers exist under a range of dc current biases and temperatures, and are …

The aim of this review article is to present recent advances in the theory of the dynamics of
modulated phases in the Frenkel-Kontorova model. This theory is motivated through two …

The dynamics of two mutually coupled but nonidentical semiconductor lasers are studied
experimentally, numerically, and analytically for weak coupling. The lasers have dissimilar …

We analyze the damped, driven, discrete sine-Gordon equation with periodic boundary
conditions and constant forcing. Analytical and numerical results are presented about the …

The Bose-Hubbard model is a paradigm for the study of strongly correlated bosonic systems.
We review some of its properties with emphasis on the implications on quantum phase …

The behavior of topological solitons in a parallel array of a Josephson junction is studied
experimentally. We observe the fusion of two relativistic 2 π solitons of the same polarity into …

We present experimental and theoretical results showing that the distributed
electromagnetic environment of a Josephson junction array can cause the junctions in the …

The kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by
a constant external force is investigated. Resonant steplike transitions of the average …