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Complex Dynamic Behaviors in Cellular Automata Rule 14
Joint Authors
Liao, Xiaofeng
Han, Qi
Li, Chuandong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Wolfram divided the 256 elementary cellular automata rules informally into four classes using dynamical concepts like periodicity, stability, and chaos.
Rule 14, which is Bernoulli στ-shift rule and is a member of Wolfram’s class II, is said to be simple as periodic before.
Therefore, it is worthwhile studying dynamical behaviors of rule 14, whether it possesses chaotic attractors or not.
In this paper, the complex dynamical behaviors of rule 14 of one-dimensional cellular automata are investigated from the viewpoint of symbolic dynamics.
We find that rule 14 is chaotic in the sense of both Li-Yorke and Devaney on its attractor.
Then, we prove that there exist fixed points in rule 14.
Finally, we use diagrams to explain the attractor of rule 14, where characteristic function is used to describe that all points fall into Bernoulli-shift map after two iterations under rule 14.
American Psychological Association (APA)
Han, Qi& Liao, Xiaofeng& Li, Chuandong. 2012. Complex Dynamic Behaviors in Cellular Automata Rule 14. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-458067
Modern Language Association (MLA)
Han, Qi…[et al.]. Complex Dynamic Behaviors in Cellular Automata Rule 14. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-458067
American Medical Association (AMA)
Han, Qi& Liao, Xiaofeng& Li, Chuandong. Complex Dynamic Behaviors in Cellular Automata Rule 14. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-458067
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458067