Title
Notes on Symbolic Representations of Dynamical Systems.
Abstract
In this note, we presents some discussions on symbolic representations of dynamical systems through shifts and subshifts. By employing the tool of symbolic dynamics, we show that there exists a conjugate representation between general symbolic dynamical systems and usual symbolic dynamical systems through subshifts. For any one-dimensional cellular automaton, we demonstrate that there exists a subsystem such that it is a semi-conjugate representation of the cellular automaton through the shift.
Year
DOI
Venue
2012
null
JOURNAL OF CELLULAR AUTOMATA
Keywords
Field
DocType
Symbolic representation,cellular automaton,subshift,symbolic dynamics
Discrete mathematics,Algebra,Dynamical systems theory,Symbolic data analysis,Mathematics
Journal
Volume
Issue
ISSN
7
3
1557-5969
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Junbiao Guan1347.69