Primo C, Szendro I G, Rodríguez M A, Gutiérrez J M
Department of Meteorology, University of Reading, Earley Gate, Reading RG6 6BB, UK.
Phys Rev Lett. 2007 Mar 9;98(10):108501. doi: 10.1103/PhysRevLett.98.108501. Epub 2007 Mar 6.
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.
