Collision-Based Computing presents a unique overview of computation with mobile self-
localized patterns in non-linear media, including computation in optical media, mathematical …

We report a new system of artificial life called Lenia (from Latin lenis" smooth"), a two-
dimensional cellular automaton with continuous space-time-state and generalized local rule …

We discuss a variety of experimental and theoretical studies of localized stationary spots,
oscillons, and localized oscillatory clusters, moving and breathing spots, and localized …

Cellular automata (CAs) are fully-discrete dynamical models that have received much
attention due to the fact that their relatively simple setup can nonetheless express highly …

Cellular automata are used to model dynamical phenomena by focusing on their local
behavior which depends on the neighboring cells in order to express their global behavior …

We study a binary-cell-state eight-cell neighborhood two-dimensional cellular automaton
model of a quasi-chemical system with a substrate and a reagent. Reactions are …

In cellular automata models a glider gun is an oscillating pattern of nonquiescent states that
periodically emits traveling localizations (gliders). The glider streams can be combined to …

Memory is a universal function of organized matter. What is the mathematics of memory?
How does memory affect the space-time behaviour of spatially extended systems? Does …

Textures are the most important element for simulating real-world scenes and providing
realistic and immersive sensations in many applications. Procedural textures can simulate a …

We study propagation of solitons on one-dimensional lattices of nodes with Morse
interaction between the neighboring nodes. In numerical integration, we demonstrate that …