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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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S02...
Link to published version:: https://doi.org/10.1142/S021812740902355X
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 |
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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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