The symmetry of the force field of a magnetic monopole is comparable in its simplicity to that of the hydrogen atom or a harmonic oscillator. Both these latter systems possess a ``hidden'' symmetry… Expand

The book deals with analytical and computational studies of spatially-extended discrete dynamical systems: one-dimensional cellular automata with non-linearity, emergency, complexity and self-organization.Expand

Abstract A comprehensive discussion of Wolfram's four classes of cellular automata is given, with the intention of relating them to Conway's criteria for a good game of Life. Although it is known… Expand

We study one-dimensional (1D) binary state ternary neighborhood cellular automata exhibiting a sophisticated space–time dynamics of traveling localized patterns, and deal with cell state transition Rule 54, mainly due to its ability to generate rich varieties of periodic structures.Expand

We propose a representation for coding initial conditions by means of a finite subset of regular expressions specifying a set of phases for each glider in Rule 110.Expand

The de Bruijn diagram describing those decompositions of the neighborhoods of a one dimensional cellular automaton which conform to predetermined requirements of periodicity and translational symmetry shows how to construct extended configurations satisfying the same requirements.Expand

Formaldehyde is not only a carcinogenic chemical, but also causes sick building syndrome. Very small amounts of formaldehyde, such as those emitted from building materials and furniture, pose great… Expand

The dynamics of rule 54 one-dimensional two-state cellular automaton are a discrete analog of space-time dynamics of excitations in nonlinear active medium with mutual inhibition.Expand