Here we study stochastic resonance (SR) in a spatially extended system described by a reaction–diffusion equation for a scalar (activator-like) field including a nonlocal contribution. We assume that such a contribution arises from an effective adiabatic elimination of an auxiliary...

We study the pattern dynamics in a reaction–diffusion model of the activator–inhibitor type in the oscillatory regime. We consider finite systems with partially absorptive boundary conditions analysing examples in different geometries in one and two dimensions. We observe that the boundary...

We study pattern dynamics in inhomogeneous active media described by a reaction–diffusion model. This is done by means of numerical simulations in one-, two- and three-dimensional systems with radial symmetry. We consider inhomogeneities corresponding to the space variation of the (nonlinear)...

We study a one-dimensional FitzHugh-like model showing Wenckebach rhythms. We analyze both, the role of the excitation period and the size of the necrotic defect (that is zones with no reaction terms) on the firing number (a well-known evolution parameter). This analysis shows that some...

We introduce a semi-analytical method to study the evolution of spatial structures in reaction-diffusion systems. It consists in writing an integral equation for the relevant densities, from the propagator of the linear part of the evolution operator. In order to test the method, we perform an...

We introduce a simple model of opinion dynamics in which a two-state agent modified Sznajd model evolves due to the simultaneous action of stochastic driving and a periodic signal. The stochastic effect mimics a social temperature, so the agents may adopt decisions in support for or against some...

We study a piecewise linear version of a one-component monostable reaction diffusion model in a bounded domain, subjected to partially reflecting boundary conditions (“albedo” b.c.). We analyze the local and the global stability of the merging patterns and detect a bifurcation of the uniform...

We use Tsallis’ information measure and the recently advanced “escort-Tsallis” one in order to investigate the stochastic resonance (SR) phenomenon. In particular, on the basis of these generalized information measures (GIM), both characterized by a non-extensivity parameter q, we study...

We study the phenomenon of stochastic resonance in a spatially extended system. An activator–inhibitor reaction–diffusion model is analyzed through two different approximations: an adiabatic one leading to a known form of the Graham’s nonequilibrium potential, and a quasi-variational...