Ulam's cellular automaton and Rule 150 (Q482848)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Ulam's cellular automaton and Rule 150 |
scientific article; zbMATH DE number 6383632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ulam's cellular automaton and Rule 150 |
scientific article; zbMATH DE number 6383632 |
Statements
Ulam's cellular automaton and Rule 150 (English)
0 references
6 January 2015
0 references
Ulam introduced a non-linear almost equicontinuous two-dimensional cellular automaton as a cell model of crystalline growth in 1962 [\textit{S. M. Ulam}, in: Essays cellular Automata 219--231 (1970; Zbl 0241.94048)]. Here it is shown that this model contains as a subsystem a linear chaotic elementary cellular automaton. The inverse process to ultradiscretization is studied on the system, and it is shown that the resulting partial differential equation preserves the self-organising properties of Ulam's cellular automaton.
0 references
cellular automaton
0 references
symbolic dynamics
0 references
linear chaos
0 references
almost equicontinuity
0 references
inverse ultradiscretization
0 references
fractal pattern
0 references
0 references
0.86075115
0 references
0.86069244
0 references
0.85442364
0 references
