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.
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页数：10
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