It is shown for a class of D-dimensional lattice gas models how the macrodynamical equations for the densities of microscopically conserved quantities can be systematically derived from the underlying exact ''microdynamical'' Boolean equations.Expand

This work gives a simple annealed approximation which predicts K = 2 as the critical value of K and gives also quantitative predictions for distances between iterated configurations.Expand

We study some simple dissipative dynamical systems exhibiting a transition from a stable periodic behavior to a chaotic one. At that transition, the inverse coherence time grows continuously from… Expand

Free Oscillator - Damped Oscillator Forced Oscillator - Parametric Oscillator The Fourier Transform Poincare Sections Three Examples of Dynamical Systems To Chaos: Temporal Chaos in Dissipative… Expand

When a rigid circular cylinder or sphere is placed on rough inclined plane it will roll down the plane. When th experiment is repeated with a rigid cube it will slide dow the plane. If the object is… Expand

This paper is the first one of a series devoted to the study of a particularly simple two‐dimensional system of classical particles. The model is presented and some general feautres of it are… Expand

We study the existence and the role of solitary waves in the instability of a fluid layer flowing down an inclined plane. The approach presented is fully nonlinear. Solitary waves steady in a moving… Expand