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Error growth patterns in systems with spatial chaos: From coupled map lattices to global weather models

Journal: Physical Review Letters
Year: 2007   Volume: 98
Initial page: 108501  
Status: Published
PDF file: 2007_gutierrez_PRL.pdf

Error growth in spatiotemporal chaotic systems is investigated by analyzing the interplay between temporal and spatial dynamics. The spatial correlation and localization of relative fluctuations grow and decay indicating two different regimes, before and after saturation by nonlinear effects. This general behavior is shown to hold both in simple coupled map lattices and in global weather models. This explains the increasing or decreasing trends previously observed in the exponential growth rate of these spatiotemporal systems.