We have examined the cutting process by using a two degrees of freedom non-smooth
model with a friction component. Instead of the standard Lyapunov exponent treatment a …

We examine the two-dimensional map of a bouncing ball system. To distinguish between
periodic and chaotic solutions we propose the 0–1 test. This method is based on the spectral …

This paper addresses the question of how Brownian-like motion can arise from the solution
of a deterministic differential delay equation. To study this we analytically study the …

A recently proposed test for chaos (Gottwald GA and Melbourne I 2004 Proc. R. Soc. A 460
603–11) is employed to probe the Hamiltonian dynamics of a one-dimensional anharmonic …

Recent studies on the phase-space dynamics of a one-dimensional Lennard-Jones fluid
reveal the existence of regular collective perturbations associated with the smallest positive …

The largest Lyapunov exponent of a system composed by a heavy impurity embedded in a
chain of anharmonic nearest-neighbor Fermi-Pasta-Ulam oscillators is numerically …

We study two points of view regarding the origin of irreversible processes. One is the
“chaotic hypothesis” that says that irreversible processes are rooted in the randomness …

The problem of detecting specific features of microscopic dynamics in the macroscopic
behavior of a many-degrees-of-freedom system is investigated by analyzing the position and …