Perturbing the topology of the Game of Life increases its robustness to asynchrony

Details Perturbing the topology of the Game of Life increases its robustness to asynchrony Perturbing the topology of the Game of Life increases its robustness to asynchrony

2004-05-27

arxiv.org/abs/nlin/0405061v2

Cellular Automata: 6th International Conference on Cellular Automata for Research and Industry, ACRI 2004, Amsterdam, The Neth

Nonlinear Sciences

Cellular Automata and Lattice Gases

Submitted to ACRI 2004

Scientific paper

10.1007/b102055

An experimental analysis of the asynchronous version of the "Game of Life" is performed to estimate how topology perturbations modify its evolution. We focus on the study of a phase transition from an "inactive-sparse phase" to a "labyrinth phase" and produce experimental data to quantify these changes as a function of the density of the initial configuration, the value of the synchrony rate, and the topology missing-link rate. An interpretation of the experimental results is given using the hypothesis that initial "germs" colonize the whole lattice and the validity of this hypothesis is tested.

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