Dynamic scaling of bred vectors in spatially extended chaotic systemsPrimo, C., Szendro, I. G., Rodriguez, M. A. and Lopez, J. M. (2006) Dynamic scaling of bred vectors in spatially extended chaotic systems. Europhysics Letters, 76 (5). pp. 767-773. ISSN 0295-5075 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. Abstract/SummaryWe unfold a profound relationship between the dynamics of finite-size perturbations in spatially extended chaotic systems and the universality class of Kardar-Parisi-Zhang (KPZ). We show how this relationship can be exploited to obtain a complete theoretical description of the bred vectors dynamics. The existence of characteristic length/time scales, the spatial extent of spatial correlations and how to time it, and the role of the breeding amplitude are all analyzed in the light of our theory. Implications to weather forecasting based on ensembles of initial conditions are also discussed.
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