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 …

Explanations for the patchy distribution of marine phytoplankton are critically reviewed with
the focus on the role played by lateral advection and mixing. Generating mechanisms for …

Nonlinear dynamics and chaotic and complex systems constitute some of the most
fascinating developments of late twentieth century mathematics and physics. The …

Using a computational model of a coupled reaction-diffusion-mechanics system, we find that
mechanical deformation can induce automatic pacemaking activity. Pacemaking is shown to …

Plankton play an important role in the ecology of the ocean and the climate because of their
participation in the global carbon cycle at the base of the food chain. However, damaging …

We report the existence of complex spiral dynamics induced by external noise in a simple
two-dimensional model of excitable media, with local dynamics of the FitzHugh-Nagumo …

We study the role of the diffusive interaction in plankton dynamics in a patchy environment.
We use a minimal reaction-diffusion model of the nutrient—plankton—fish food chain to …

We consider a predator–prey model of planktonic population dynamics, of excitable
character, living in an open and chaotic fluid flow, ie, a state of fluid motion in a region from …

The response to a localized perturbation of an excitable medium under stirring by chaotic
advection is investigated. It is found that below a critical stirring rate a localized perturbation …

Oscillatory kinetics coupled to diffusion can produce traveling waves as observed in
physical, chemical, and biological systems. We show experimentally that the properties of …