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arXiv · 1410.8709

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

Diego Pazó·Juan M. López·Rafael Gallego·Miguel A. Rodríguez
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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.

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Diego Pazó, Juan M. López, Rafael Gallego, Miguel A. Rodríguez. 2014-10-31. Synchronizing spatio-temporal chaos with imperfect models: a stochastic surface growth picture. https://doi.org/10.1063/1.4898385

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