Title
Strictly Temporally Periodic Points In Cellular Automata
Abstract
We study the set of strictly temporally periodic points in surjective cellular automata, i.e., the set of those configurations which are temporally periodic for a given automaton but are not spatially periodic. This set turns out to be residual for equicontinuous surjective cellular automata, dense for almost equicontinuous surjective cellular automata, while it is empty for the positively expansive ones. In the class of additive cellular automata, the set of strictly temporally periodic points can be either dense or empty. The latter happens if and only if the cellular automaton is topologically transitive.
Year
DOI
Venue
2012
10.4204/EPTCS.90.18
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE
Keywords
Field
DocType
cellular automata, symbolic dynamics, spatially and temporally periodic configurations
Symbolic dynamics,Complex system,Cellular automaton,Discrete mathematics,Automata theory,Formal language,Algebraic number,Computer science,Automaton,Theoretical computer science,Scientific modelling,Artificial intelligence
Journal
Issue
ISSN
Citations 
90
2075-2180
1
PageRank 
References 
Authors
0.38
8
3
Name
Order
Citations
PageRank
alberto dennunzio131838.17
Pietro Di Lena222519.34
Luciano Margara336746.16