title: Synchronizing spatio-temporal chaos with imperfect models: a stochastic surface growth picture.
abstract: We study the synchronization of two spatially extended dynamical systems where the models have imperfections. We show that the synchronization error across space can be visualized as a rough surface governed by the Kardar-Parisi-Zhang equation with both upper and lower bounding walls corresponding to nonlinearities and model discrepancies, respectively. Two types of model imperfections are considered: parameter mismatch and unresolved fast scales, finding in both cases the same qualitative results. The consistency between different setups and systems indicates that the results are generic for a wide family of spatially extended systems.
authors.affiliation: Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander, Spain.
authors.forename: Diego
authors.initials: D
authors.lastname: Pazó
authors.affiliation: Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander, Spain.
authors.forename: Juan M
authors.initials: JM
authors.lastname: López
authors.affiliation: Departamento de Matemáticas, Universidad de Oviedo, Campus de Viesques, 33203 Gijón, Spain.
authors.forename: Rafael
authors.initials: R
authors.lastname: Gallego
authors.affiliation: Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander, Spain.
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Rodríguez