Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

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 …

Evolutionary algorithms are a promising option for solving dynamic optimization problems.
These problems have fitness landscapes whose topological features change dynamically …

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 …

The breeding method is a conceptually simple and computationally cheap ensemble
generation technique. Bred vectors (BV) are dynamically obtained from the nonlinear model …

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 …

We present a novel approach to characterize and graphically represent the spatiotemporal
evolution of ensembles using a simple diagram. To this aim we analyze the fluctuations …

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 …