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arxiv: 0704.1175 · v1 · pith:KP6JUVJUnew · submitted 2007-04-10 · ❄️ cond-mat.stat-mech

Complete synchronization of convective patterns between Gray-Scott systems

Gonzalo G. Iz\'us (1) , Roberto R. Deza (1) , Luis Bernal (1) , Vicente P\'erez-Villar (2) (1) (Departamento de F\'isica , Facultad de Ciencias Exactas y Naturales , Universidad Nacional de Mar del Plata , Argentina) (2) (Grupo de F\'isica Non Lineal , Facultade de F\'isica
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Universidade de Santiago de Compostela Spain)
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classification ❄️ cond-mat.stat-mech
keywords convectivepatternssynchronizationsystemsarisingautocatalyticcompleteconvectively
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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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