Different aspects of the predictability problem in dynamical systems are reviewed. The deep
relation among Lyapunov exponents, Kolmogorov–Sinai entropy, Shannon entropy and …

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 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 …

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 investigate the predictability problem in dynamical systems with many degrees of
freedom and a wide spectrum of temporal scales. In particular, we study the case of three …

We investigate the spreading of passive tracers in closed basins. If the characteristic length
scale of the Eulerian velocities is not very small compared with the size of the basin the …

We study the dynamics of two symmetrically coupled populations of identical leaky integrate-
and-fire neurons characterized by an excitatory coupling. Upon varying the coupling …

In experiments, the dynamical behavior of systems is reflected in time series. Due to the
finiteness of the observational data set, it is not possible to reconstruct the invariant measure …

Turbulence is a huge subject of ongoing research. This book bridges the modern
development in dynamical systems theory and the theory of fully developed turbulence …

The multi-scale and nonlinear nature of the ocean dynamics dramatically affects the
spreading of matter, like pollutants, marine litter, etc., of physical and chemical seawater …