In the last decade, non-linear dynamical transport in semiconductor superlattices (SLs) has
witnessed significant progress in theoretical descriptions as well as in experimentally …

Nonlinear charge transport in semiconductor superlattices under strong electric fields
parallel to the growth direction results in rich dynamical behaviour including the formation of …

We consider spatially discrete bistable reaction-diffusion equations that admit wave front
solutions. Depending on the parameters involved, such wave fronts appear to be pinned or …

We study a model describing the force-extension curves of modular proteins, nucleic acids,
and other biomolecules made out of several single units or modules. At a mesoscopic level …

Wave front pinning and propagation in damped chains of coupled oscillators are studied.
There are two important thresholds for an applied constant stress F: for| F|< F cd (dynamic …

The static stress needed to depin a 2D edge dislocation, the lower dynamic stress needed to
keep it moving, its velocity, and displacement vector profile are calculated from first …

Propagation of pulses in myelinated fibers may be described by appropriate solutions of
spatially discrete FitzHugh--Nagumo systems. In these systems, propagation failure may …

In this paper, we study the spatial dynamics of the lattice Lotka–Volterra competition system
in a shifting habitat. First, we discuss the corresponding ranges of the environmental …

This paper is devoted to investigating the wave propagation and its stability for a class of two-
component discrete diffusive systems. We first establish the existence of positive monotone …

Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems
describing a host of phenomena in physics, biology, etc. A large class of discrete systems is …