We study Lyapunov vectors (LVs) corresponding to the largest Lyapunov exponents in
systems with spatiotemporal chaos. We focus on characteristic LVs and compare the results …

We study the evolution of finite perturbations in the Lorenz '96 model, a meteorological toy
model of the atmosphere. The initial perturbations are chosen to be aligned along different …

Bred vectors are a type of finite perturbation used in prediction studies of atmospheric
models that exhibit spatially extended chaos. We study the structure, spatial correlations …

The potential use of synchronization as a method for data assimilation is investigated in a
Lorenz96 model. Data representing the reality are obtained from a Lorenz96 model with …

Error growth in spatiotemporal chaotic systems is investigated by analyzing the interplay
between temporal and spatial dynamics. The spatial correlation and localization of relative …

In this work we perform a detailed study of the scaling properties of Lyapunov vectors (LVs)
for two different one-dimensional Hamiltonian lattices: the Fermi-Pasta-Ulam and Φ 4 …

Uncertainty in numerical weather forecasts arising from an imperfect knowledge of the initial
condition of the atmospheric system and the discrete modeling of physical processes is …

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 study the effect of regime switches on finite size Lyapunov exponents (FSLEs) in
determining the error growth rates and predictability of multiscale systems. We consider a …

It is shown that the choice of the norm has a great impact on the construction of ensembles
of bred vectors. The geometric norm maximizes (in comparison with other norms such as the …