Dynamic scaling of bred vectors in spatially extended chaotic systemsC. Primo1, 2, I. G. Szendro2, 3, M. A. Rodríguez2 and J. M. López2
1 Department of Meteorology, University of Reading - Earley Gate Reading RG6 6BB, UK
2 Instituto de Física de Cantabria (IFCA), CSIC-UC - E-39005 Santander, Spain
3 Departamento de Física Moderna, Universidad de Cantabria - Avda. Los Castros E-39005 Santander, Spain
received 12 June 2006; accepted in final form 16 October 2006
published online 10 November 2006
We 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 tune 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.
05.45.Jn - High-dimensional chaos.
05.45.Ra - Coupled map lattices.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
© EDP Sciences 2006