Complete synchronization of convective patterns between Gray-Scott systems

Details Complete synchronization of convective patterns between Gray-Scott systems Complete synchronization of convective patterns between Gray-Scott systems

2007-04-10

arxiv.org/abs/0704.1175v1

Eur. Phys. J. Special Topics 143, 135-141 (2007)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 8 figures, uses edp-jp4.cls. Invited talk at the Workshop on ``\emph{Complex Systems: New Trends and Expectations}'',

Scientific paper

10.1140/epjst/e2007-00081-3

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.

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