On the dynamical behaviour of cellular automata

Tools

XU, Xu, SONG, Yi and BANKS, Stephen P. (2009). On the dynamical behaviour of cellular automata. International Journal of Bifurcation and Chaos, 19 (04), 1147-1156. [Article]

Abstract
More Information
Metrics
Share

[+][-]

Abstract

In this paper, we show that the mathematical classification of one-dimensional cellular automata given by Dubois–Violette and Rouet [1987] does not truly represent the different behaviors possible. In fact we show that many rules of their type O have totally different behavior. A better classification is based on Smale's basic sets and nonwandering points. Read More: http://www.worldscientific.com/doi/abs/10.1142/S021812740902355X

More Information

Official URL:

http://www.worldscientific.com/doi/abs/10.1142/S02...

Research Institute, Centre or Group - Does NOT include content added after October 2018:

Materials and Engineering Research Institute > Modelling Research Centre > Materials Modelling group

Page Range:

1147-1156

Identifiers

Identification Number:

10.1142/S021812740902355X

ORCID:

https://orcid.org/0000-0002-9721-9054