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 …

We study the chaotic dynamics in a classical many-body system of interacting spins on the
kagome lattice. We characterize many-body chaos via the butterfly effect as captured by an …

We investigate how generic the onset of chaos in interacting many-body classical systems is
in the context of lattices of classical spins with nearest-neighbor anisotropic couplings …

We numerically investigate Lyapunov instabilities for one-, two-and three-dimensional
lattices of interacting classical spins at infinite temperature. We obtain the largest Lyapunov …

In the study of chaotic behavior, Lyapunov exponents play an important part. In this paper,
we demonstrate how the Lyapunov exponents close to zero of a system of many hard …

Recent work on many-particle systems reveals the existence of regular collective
perturbations corresponding to the smallest positive Lyapunov exponents (LEs), called …

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 …

The Lyapunov spectrum describes the exponential growth, or decay, of infinitesimal phase-
space perturbations. The perturbation associated with the maximum Lyapunov exponent is …

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 …

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 …