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Chaos of elementary cellular automata rule 42 of Wolfram’s class II
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10.1063/1.3099610
/content/aip/journal/chaos/19/1/10.1063/1.3099610
http://aip.metastore.ingenta.com/content/aip/journal/chaos/19/1/10.1063/1.3099610

Figures

Image of FIG. 1.
FIG. 1.

Characteristic functions of rule 42. Although only 500 points are shown, the abscissa of each point is calculated with a 90 bit string resolution. All 500 points fall onto the left Bernoulli-shift map after one iteration.

Image of FIG. 2.
FIG. 2.

Attractors choosing from the basin tree diagram of rule 42 for . (b) and (d) are also isles of Eden. There are a total of 29 attractors with the possible periods . The evolution dynamics on each attractor, especially (a)–(d), is a left Bernoulli-shift with the same parameters.

Tables

Generic image for table
Table I.

The truth table of Boolean functions of rules 42, 112, 171, and 241.

Generic image for table
Table II.

Summary of qualitative properties of rule 42.

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/content/aip/journal/chaos/19/1/10.1063/1.3099610
2009-03-31
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Chaos of elementary cellular automata rule 42 of Wolfram’s class II
http://aip.metastore.ingenta.com/content/aip/journal/chaos/19/1/10.1063/1.3099610
10.1063/1.3099610
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