Szczegóły publikacji
Opis bibliograficzny
On one-sided, topologically mixing and strongly transitive CA with a continuum of period-two points / Wit FORYŚ, Janusz Matyja // Journal of Cellular Automata ; ISSN 1557-5969. — 2016 — vol. 11 no. 5–6, s. 399–424. — Bibliogr. s. 422–424. — W. Foryś – dod. afiliacja: Jagiellonian University
Autorzy (2)
- AGHForyś Wit
- Matyja Janusz
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 103327 |
|---|---|
| Data dodania do BaDAP | 2017-01-20 |
| Tekst źródłowy | URL |
| Rok publikacji | 2016 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Cellular Automata |
Abstract
In a metric Cantor space B-n(N)(B-n(Z)) for any integer n >= 2 we present a modified construction of a one-sided, topologically mixing, open and strongly transitive cellular automaton (B-n(N)(B-n(Z)), F-n) with radius r = 1. The automaton has no fixed points but has continuum of period-two points and topological entropy log(n). Additionally, in restriction to B-n(N), it has a dense set of strictly temporally periodic points. The construction guarantees the strong transitivity of (B-n(Z), F-n), and it is based on the cellular automaton (B-N, F) with radius r = 1, defined for any prime number p. We have proved in our previous paper that (B-N, F) is non-injective, chaotic in Devaney sense, has no fixed points but has continuum of period-two points and topological entropy log(p). In this paper we prove that it has the remaining mentioned properties of (B-n(N), F-n).
