# Complete synchronization of convective patterns between Gray-Scott systems

## TL;DR

This paper demonstrates that two coupled Gray-Scott systems can achieve complete synchronization of their convective patterns despite noise, through numerical simulations showing high-precision pattern replication.

## Contribution

It introduces a novel unidirectional linear coupling method that synchronizes convective patterns in Gray-Scott systems under noisy conditions.

## Key findings

- Slave system replicates master patterns with high accuracy
- Synchronization persists despite stochastic perturbations
- Numerical measures confirm strong pattern alignment

## Abstract

Two identical 1D autocatalytic systems with Gray--Scott kinetics--driven towards convectively unstable regimes and submitted to independent spatiotemporal Gaussian white noises--are coupled unidirectionally, but otherwise linearly. Numerical simulation then reveals that (even when perturbed by noise) the slave system replicates the convective patterns arising in the master one to a very high degree of precision, as indicated by several measures of synchronization.