We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

Natural systems are undeniably subject to random fluctuations, arising from either
environmental variability or thermal effects. The consideration of those fluctuations supposes …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

Groups of animals can perform highly coordinated collective behaviours that confer benefits
to the participating individuals by facilitating social information exchange and protection from …

We review experimental and theoretical studies on the design and control of spatiotemporal
behavior in chemical systems. A wide range of approaches have been pursued to control …

We study the response of one-and two-dimensional excitable media to external
spatiotemporal noise in terms of synchronization. The media are modeled by a finite-size …

The constructive role of noise in an excitable activator-inhibitor medium is analyzed. Noise
acts parametrically on the excitation threshold of the system, and is seen to support the …

We analyze neocortical dynamics using field theoretic methods for non-equilibrium statistical
processes. Assuming the dynamics is Markovian, we introduce a model that describes both …

The nonequilibrium dynamics of a cycling three-state Potts model is studied on a square
lattice using Monte Carlo simulations and continuum theory. This model is relevant to …

Microscopically, the cold liquid around freezing consists of crystalline ordered domains
supporting thermally excited acoustic wave turbulence. Whether and how the above …