1999
DOI: 10.1016/s0304-3975(98)00149-2
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On the dynamical behavior of chaotic cellular automata

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Cited by 28 publications
(15 citation statements)
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“…If we take "chaotic" as meaning "Li-Yorke chaotic," then the existence of a chaotic universal ECA is found, since we have just shown that rule 110 has the positive entropy. Noticeably, rule 110 is not surjective, then it is not chaotic according to Devaney's definition in phase space [27]. It is particularly important to mention that the method presented above is also applicable to other ECA rules therein.…”
Section: Discussionmentioning
confidence: 99%
“…If we take "chaotic" as meaning "Li-Yorke chaotic," then the existence of a chaotic universal ECA is found, since we have just shown that rule 110 has the positive entropy. Noticeably, rule 110 is not surjective, then it is not chaotic according to Devaney's definition in phase space [27]. It is particularly important to mention that the method presented above is also applicable to other ECA rules therein.…”
Section: Discussionmentioning
confidence: 99%
“…However, these definitions of chaos are related. The chaotic behavior of CAs are studied by a number of works; some examples are Mitchell et al (1993); Cattaneo et al (1999Cattaneo et al ( , 2000; Acerbi et al (2009). Based on their dynamic behavior, CAs are classified into different classes.…”
Section: Topology Dynamics and Chaotic Behavior Of Casmentioning
confidence: 99%
“…Behavioral and computational measures of cellular automata complexity were suggested in [9,11,13] including a more physics-related apparent entropy measure [12].…”
Section: Evolutionary Complexity Of Boolean Gatesmentioning
confidence: 99%