A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

Fluids cooled to the liquid–vapor critical point develop system-spanning fluctuations in
density that transform their visual appearance. Despite a rich phenomenology, however …

Two sets of vectors, covariant Lyapunov vectors (CLVs) and orthogonal Lyapunov vectors
(OLVs), are currently used to characterize the linear stability of chaotic systems. A …

We consider simulations of a two-dimensional gas of hard disks in a rectangular container
and study the Lyapunov spectrum near the vanishing Lyapunov exponents. To this spectrum …

We carry out extensive computer simulations to study the Lyapunov instability of a two-
dimensional hard-disk system in a rectangular box with periodic boundary conditions. The …

Inspired by recent results on differences in fluctuations of finite-time Lyapunov exponents
between hard-core and soft-potential systems we surmise that partial domination of the …

Physical systems that are dissipating, mixing, and developing turbulence also irreversibly
transport statistical density. However, predicting the evolution of density from atomic and …

The Lyapunov vectors corresponding to the steps of Lyapunov spectra for many-particle
systems show time-oscillating behavior in two types of Lyapunov modes, one associated …

A system plus environment conservative model is used to characterize the nonlinear
dynamics when the time averaged energy for the system particle starts to decay. The system …

What Does Dynamical Systems Theory Teach Us about Fluids? Page 1 Communications in
Theoretical Physics GENERAL What Does Dynamical Systems Theory Teach Us about Fluids …