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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:
; ;  [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
Journal Name:
Chaos (Woodbury, N. Y.)
Additional Journal Information:
Journal Volume: 24; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1054-1500
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

Citation Formats

Pazó, Diego, López, Juan M., Rodríguez, Miguel A., and Gallego, Rafael. Synchronizing spatio-temporal chaos with imperfect models: A stochastic surface growth picture. United States: N. p., 2014. Web. doi:10.1063/1.4898385.
Pazó, Diego, López, Juan M., Rodríguez, Miguel A., & Gallego, Rafael. Synchronizing spatio-temporal chaos with imperfect models: A stochastic surface growth picture. United States. https://doi.org/10.1063/1.4898385
Pazó, Diego, López, Juan M., Rodríguez, Miguel A., and Gallego, Rafael. 2014. "Synchronizing spatio-temporal chaos with imperfect models: A stochastic surface growth picture". United States. https://doi.org/10.1063/1.4898385.
@article{osti_22351006,
title = {Synchronizing spatio-temporal chaos with imperfect models: A stochastic surface growth picture},
author = {Pazó, Diego and López, Juan M. and Rodríguez, Miguel A. and Gallego, Rafael},
abstractNote = {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.},
doi = {10.1063/1.4898385},
url = {https://www.osti.gov/biblio/22351006}, journal = {Chaos (Woodbury, N. Y.)},
issn = {1054-1500},
number = 4,
volume = 24,
place = {United States},
year = {Mon Dec 01 00:00:00 EST 2014},
month = {Mon Dec 01 00:00:00 EST 2014}
}