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

被引：6

作者：

Pazo, Diego ^{[1
]}

Lopez, Juan M. ^{[1
]}

Gallego, Rafael ^{[2
]}

Rodriguez, Miguel A. ^{[1
]}

机构：

[1] Univ Cantabria, CSIC, Inst Fis Cantabria IFCA, E-39005 Santander, Spain

[2] Univ Oviedo, Dept Matemat, Gijon 33203, Spain

来源：

CHAOS | 2014年 / 24卷 / 04期

关键词：

GENERALIZED SYNCHRONIZATION; CRITICAL-BEHAVIOR; DATA ASSIMILATION; SYSTEMS; EQUATION;

D O I：

10.1063/1.4898385

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 AIP Publishing LLC.

引用

页数：10

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