MULTISCALE COUPLINGS IN PROTOTYPE HYBRID DETERMINISTIC/STOCHASTIC SYSTEMS : PART I, DETERMINISTIC CLOSURES*
We introduce and study a class of model prototype hybrid systems comprised of a microscopic stochastic surface process modeling adsorption/desorption and/or surface diffusion of particles coupled to an ordinary differential equation (ODE) displaying bifurcations excited by a critical noise parameter. The models proposed here are caricatures of realistic systems arising in diverse applications rang