Synchronizing spatio-temporal chaos with imperfect models: a stochastic surface growth picture
Chaotic Dynamics
2014-11-03 v1
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 the results are generic for a wide family of spatially extended systems.
Keywords
Cite
@article{arxiv.1410.8709,
title = {Synchronizing spatio-temporal chaos with imperfect models: a stochastic surface growth picture},
author = {Diego Pazó and Juan M. López and Rafael Gallego and Miguel A. Rodríguez},
journal= {arXiv preprint arXiv:1410.8709},
year = {2014}
}
Comments
10 pages