We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for
dynamical systems, as well as of the numerical techniques developed for the computation of …

Written by a team of international experts, Extremes and Recurrence in Dynamical Systems
presents a unique point of view on the mathematical theory of extremes and on its …

Chaotic systems are everywhere (Strogatz 1995), from celestial mechanics to biology to
electron transport. Not only do they cover many scales, but the phenomena that fall under …

In this work it is shown that the Shannon entropy is an efficient dynamical indicator that
provides a direct measure of the diffusion rate and thus a time-scale for the instabilities …

We distinguish two types of stickiness in systems of two degrees of freedom:(a) stickiness
around an island of stability, and (b) stickiness in chaos, along the unstable asymptotic …

Nonreciprocal interactions between microscopic constituents can profoundly shape the
large-scale properties of complex systems. Here, we investigate the effects of nonreciprocity …

Intramolecular vibrational energy redistribution (IVR) impacts the dynamics of reactions in a
profound way. Theoretical and experimental studies are increasingly indicating that …

The Wald vector potential is an exact solution of the source-less Maxwell equations
regarding an electromagnetic field of a vacuum uncharged black hole like the Kerr …

Being able to distinguish chaoticity from regularity in deterministic dynamical systems, as
well as to specify the subspace of the phase space in which instabilities are expected to …

We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD)
computations of initially nearby orbits to detect chaos in conservative dynamical systems …