Error Growth Patterns in Systems with Spatial Chaos: From Coupled Map Lattices to Global Weather Models

C. Primo, I. G. Szendro, M. A. Rodríguez, J. M. Gutiérrez
2007 Physical Review Letters  
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.
doi:10.1103/physrevlett.98.108501 pmid:17358577 fatcat:6lz7ckq7rnbsvon7tfkjooj3cy