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Title: Synchronizing spatio-temporal chaos with imperfect models: A stochastic surface growth picture

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:
; ;  [1] ;  [2]
  1. Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander (Spain)
  2. Departamento de Matemáticas, Universidad de Oviedo, Campus de Viesques, 33203 Gijón (Spain)
Publication Date:
OSTI Identifier:
22351006
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 24; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; EQUATIONS; ERRORS; NONLINEAR PROBLEMS; SPACE; STOCHASTIC PROCESSES; SURFACES; SYNCHRONIZATION