Complete synchronization of convective patterns between Gray-Scott systems
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.
Cite
@article{arxiv.0704.1175,
title = {Complete synchronization of convective patterns between Gray-Scott systems},
author = {Gonzalo G. Izús and Roberto R. Deza and Luis Bernal and Vicente Pérez-Villar},
journal= {arXiv preprint arXiv:0704.1175},
year = {2016}
}
Comments
8 pages, 8 figures, uses edp-jp4.cls. Invited talk at the Workshop on "\emph{Complex Systems: New Trends and Expectations}'', Santander (Spain) 5-9 June 2006. To appear in The European Physical Journal Special Topics, Vol. 143 "Trends and Expectations in Complex Systems Science'', Eds. H. S. Wio, L. Pesquera and M. A. Rodr\'{\i}guez