Dynamic Scaling of Bred Vectors in Chaotic Extended Systems
Cristina Primo, Miguel A. Rodriguez, Juan M. Lopez, Ivan Szendro
Abstract
We argue that the spatiotemporal dynamics of bred vectors in chaotic extended systems are related to a kinetic roughening process in the Kardar-Parisi-Zhang universality class. This implies that there exists a characteristic length scale corresponding to the typical extend over which the finite-size perturbation is actually correlated in space. This can be used as a quantitative parameter to characterize the degree of projection of the bred vectors into the dynamical attractor.
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