Dynamic Scaling of Bred Vectors in Chaotic Extended Systems

Departamento de F´isica Moderna, Universidad de Cantabria, Avda. Los Castros, E-39005 Santander, Spain(Dated: February 8, 2008)We argue that the spatiotemporal dynamics of bred vectors in chaotic extended systems arerelated to a kinetic roughening process in the Kardar-Parisi-Zhang universality class. This impliesthat there exists a characteristic length scale corresponding to the typical extend over which thefinite-size perturbation is actually correlated in space. This can be used as a quantitative parameterto characterize the degree of projection of the bred vectors into the dynamical attractor.