Rule switching mechanisms in the Game of Life with synchronous and asynchronous updating policy
arXiv:2310.05979 · doi:10.1088/1402-4896/acfc6c
Abstract
The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by cellular automata, with the Game of Life being one of the most prominent examples. However, this simplified model can be too limiting in providing a tool for modelling real systems. To address this, we introduce and study an extended version of the Game of Life, with the dynamical process governing the rule selection at each step. We show that the introduced modification significantly alters the behaviour of the game. We also demonstrate that the choice of the synchronization policy can be used to control the trade-off between the stability and the growth in the system.
14 pages, 5+1 figures, code available at https://doi.org/10.5281/zenodo.8099606
References in corpus (5)
- Small-world complex network generation on a digital quantum processor
- Lenia and Expanded Universe
- Self-referencing cellular automata: A model of the evolution of information control in biological systems
- Fermionic quantum field theories as probabilistic cellular automata
- Nonsynchronous updating in the multiverse of cellular automata