Incomplete noise-induced synchronization of spatially extended systems

TL;DR

This paper introduces incomplete noise-induced synchronization in spatially extended systems, specifically in Ginzburg-Landau equations driven by common noise, with analytical mechanisms and numerical validation.

Contribution

It presents the first analytical description of incomplete noise-induced synchronization in spatially extended systems like Ginzburg-Landau equations.

Findings

Analytical mechanisms for incomplete noise-induced synchronization are revealed.

Good agreement between theoretical predictions and numerical data.

Different model noises are considered and analyzed.

Abstract

A new 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 the incomplete noise-induced synchronization in the spatially extended systems are revealed analytically. The different model noise are considered. A very good agreement between the theoretical results and the numerically calculated data is shown.