Incomplete noise-induced synchronization of spatially extended systems

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 2):036215. doi: 10.1103/PhysRevE.77.036215. Epub 2008 Mar 24.

Abstract

A type of noise-induced synchronous behavior is described. This phenomenon, called incomplete noise-induced synchronization, arises for one-dimensional Ginzburg-Landau equations driven by common noise. The mechanisms resulting in incomplete noise-induced synchronization in spatially extended systems are revealed analytically. Different types of model noise are considered. A very good agreement between the theoretical results and the numerically calculated data is shown.