We commonly refer to state estimation theory in geosciences as data assimilation (DA). This
term encompasses the entire sequence of operations that, starting from the observations of a …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of
complex dynamics. Utilising a pragmatic, physical approach, this self-contained book …

The provision of accurate methods for predicting the climate response to anthropogenic and
natural forcings is a key contemporary scientific challenge. Using a simplified and efficient …

Managing ecological communities requires fast detection of species that are sensitive to
perturbations. Yet, the focus on recovery to equilibrium has prevented us from assessing …

Phase reduction framework for limit-cycling systems based on isochrons has been used as a
powerful tool for analyzing the rhythmic phenomena. Recently, the notion of isostables …

Recent years have witnessed a growing interest in covariant Lyapunov vectors (CLVs)
which span local intrinsic directions in the phase space of chaotic systems. Here, we review …

The climate is a complex, chaotic system with many degrees of freedom. Attaining a deeper
level of understanding of climate dynamics is an urgent scientific challenge, given the …

The deterministic equations describing the dynamics of the atmosphere (and of the climate
system) are known to display the property of sensitivity to initial conditions. In the ergodic …

We study the response of a simple quasi-geostrophic barotropic model of the atmosphere to
various classes of perturbations affecting its forcing and its dissipation using the formalism of …