This book introduces stochastic dynamical systems theory in order to synthesize our current
knowledge of climate variability. Nonlinear processes, such as advection, radiation and …

Lyapunov exponents are well-known characteristic numbers that describe growth rates of
perturbations applied to a trajectory of a dynamical system in different state space directions …

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 …

This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity
derivatives in chaotic dynamical systems, such as the Lorenz attractor. The algorithms …

We use a simple yet Earth-like hemispheric atmospheric model to propose a new framework
for the mathematical properties of blocking events. Using finite-time Lyapunov exponents …

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 …

In the first part of this paper, we review some important results on atmospheric predictability,
from the pioneering work of Lorenz to recent results with operational forecasting models …

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 …

The performance of (ensemble) Kalman filters used for data assimilation in the geosciences
critically depends on the dynamical properties of the evolution model. A key aspect is that …

Wild pseudohyperbolic attractor in a four- dimensional Lorenz system Page 1 Nonlinearity PAPER
Wild pseudohyperbolic attractor in a fourdimensional Lorenz system To cite this article: Sergey …