On the dynamical behaviour of cellular automata

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.

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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

Item Type:	Article
Research Institute, Centre or Group - Does NOT include content added after October 2018:	Materials and Engineering Research Institute > Modelling Research Centre > Materials Modelling group
Identification Number:	https://doi.org/10.1142/S021812740902355X
Page Range:	1147-1156
Depositing User:	Jill Hazard
Date Deposited:	11 Oct 2017 13:32
Last Modified:	18 Mar 2021 17:15
URI:	https://shura.shu.ac.uk/id/eprint/17032

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