The synchronization of oscillator ensembles is pervasive throughout nonlinear science, from
classical or quantum mechanics to biology, to human assemblies. Traditionally, the main …

The time-dependent process whereby one-dimensional systems of self-sustained oscillators
synchronize is shown to display scale invariance in space and time, akin to that found in the …

We investigate Kardar-Parisi-Zhang (KPZ) surface growth in the presence of power-law
temporally correlated noise. By means of extensive numerical simulations of models in the …

Systems of oscillators subject to time-dependent noise typically achieve synchronization for
long times when their mutual coupling is sufficiently strong. The dynamical process whereby …

We study numerically a family of surface growth models that are known to be in the
universality class of the Kardar-Parisi-Zhang equation when driven by uncorrelated noise …

We consider discrete models of kinetic rough interfaces that exhibit space-time scale
invariance in height-height correlation. We use the generic scaling theory of Ramasco et …

We present a variational formulation for the Kardar–Parisi–Zhang (KPZ) equation that leads
to a thermodynamic-like potential for the KPZ as well as for other related kinetic equations …

The kinetic roughening of dissolving polycrystalline pure iron has been studied. A depth
analysis of surface images has shown two consecutive growth regimes characterized by …

We study the roughening of d-dimensional directed elastic interfaces subject to quenched
random forces. As in the Larkin model, random forces are considered constant in the …

We study the interface representation of the contact process at its directed-percolation
critical point, where the scaling properties of the interface can be related to those of the …