Additive noise effects in active nonlinear spatially extended systems
Additive noise effects in active nonlinear spatially extended systems
We examine the effects of pure additive noise on spatially extended systems with quadratic nonlinearities. We develop a general multi-scale theory for such systems and apply it to the Kuramotoā€“Sivashinsky equation as a case study. We first focus on a regime close to the instability onset (primary bifurcation), where the ā€¦