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

Journal Article · Mon Dec 01 00:00:00 EST 2014 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4898385· OSTI ID:22351006

Pazó, Diego; López, Juan M.; Rodríguez, Miguel A. ^[1]; Gallego, Rafael ^[2]

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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)

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.

• OSTI ID: 22351006
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 24, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
EQUATIONS
ERRORS
NONLINEAR PROBLEMS
SPACE
STOCHASTIC PROCESSES
SURFACES
SYNCHRONIZATION