Complex systems, artificial life in Bio-inspired computing. See Dynamical systems on networks, Discrete dynamical systems

Cellular automaton

Exploring Cellular Automata

Theory of Cellular Automata

Classsification of Cellular Automata

Computer simulations of cellular automata

Automata theory

Statistical mechanics of cellular automata

Equivalence of Cellular Automata to Ising Models and Directed Percolation

Phase Transitions of Cellular Automata See Directed percolation

Statistical Mechanics of Probabilistic Cellular Automata

Universality in Elementary Cellular Automata proves a conjecture made by Stephen Wolfram in 1985, that an elementary one dimensional cellular automaton known as “Rule 110” is capable of universal computation, i.e. it is a Turing machine (see Theory of computation)

Statistical mechanics of cellular automata

Computation theory of cellular automata

A new kind of science - Stephen Wolfram

http://www.paradise.caltech.edu/~cook/papers/index.html

Game of Life Cellular Automata

Elementary cellular automaton (wiki)

Rule 90

Rule 30

Examples

Von Neumann cellular automata are the original expression of cellular automata, the development of which were prompted by suggestions made to John von Neumann by his close friend and fellow mathematician Stanislaw Ulam. Their original purpose was to provide insight into the logical requirements for machine self-replication and were used in von Neumann's universal constructor.

Codd's cellular automaton designed to recreate the computation- and construction-universality of von Neumann's CA but with fewer states: 8 instead of 29.

Conway's Game of Life

Langton's loops consist of a loop of cells containing genetic information, which flows continuously around the loop and out along an "arm" (or pseudopod), which will become the daughter loop

Nobili cellular automata are a variation of von Neumann cellular automata (vNCA), in which additional states provide means of memory and the interference-free crossing of signal.

Brian's Brain

Langton's ant

Wireworld

See also Discrete dynamical systems

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