Abstract
In this paper we review some of the most popular definitions of chaos. In order to distinguish simple shift-like dynamics from one-sided shift-like dynamics we introduce CF-chaotic systems. We prove that this class is not empty and we study some correlations with the other chaotic behaviors. Moreover in the second part of the paper we prove that essential transformations of the cellular automata rule space preserve the global qualitative dynamics when considering endomorphisms of compact abelian groups. We stress that the chaotic behaviors (with respect to the definitions given in the former part of paper) are preserved too.
This work has been partially supported by MURST, under the project “Efficienza di Algoritmi e Progetto di Strutture Informative”, by CEC ESPRIT BRA contract n. 6317 — ASMICS 2 and by CNR contract n. CT94.00452.CT12.115.26124
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References
J. Banks (1975), Lead in Danes: Historical and Toxicological Studies, in Environmental Quality and Safety, Supplement Vol. II, (ed. F. Coulston and F. Carte), Academic Press, New York, San Francisco, London, pp. 6–75.
Schwarz, K. (1977), Essentiality versus Toxicity of Metals, in Clinical Chemistry and Chemical Toxicilogy of Metals, (ed. S. S. Brown), Elsevier/North-Holland Biomedical Press, Amsterdam, pp. 3–22.
Ministry of Agriculture, Fisheries and Food (1975), Working Party on the Monitoring of Foodstuffs for Heavy Metals, 5th Report, Survey of Lead in Food: 1st Supplement Report, HMSO, London, pp. 34.
Department of Health and Social Security (1980), Lead and Health, Dept. Health and Social Security, HMSO, London, p. 129.
Waldron, H. A., Stöfen, D. (1974), Sub-Clinical Lead Poisoning, Academic Press, London, New York, p. 224.
US Environmental Protection Agency (1977), Air Quality Criteria for Lead, EPA Rep. EPA-600/8-77-017.
World Health Organisation (1977), Environmental Health Criteria, 3, Lead, WHO, Geneva, p. 160.
Rabinowitz, M. B., Wetherill, G. W. and Kopple, J. D. (1976), Kinetic Analysis of Lead Metabolism in Healthy Humans, J. Clin. Invest., 58, 260–270.
Kolbye, A. C., Mahaffey, R., Fiorino, A., Corneliussen, P. C. and Jelinek, C. F. (1974), Food Exposure to Lead, Environ. Health, Perspect., Exp. Issue 7, 65–75.
Chamberlain, A. C., Heard, M. J., Little, P., Newton, D., Wells, A. C. and Wiffen, R. D. (1978), Investigations into Lead from Motor Vehicles, HMSO, London.
Duggan, M. J. and Williams, S., (1977), Lead-in-Dust in City Streets, Sci. Tot. Environ., 7, 91–97.
Wetherifl, G. W., Rabinowitz, M. and Kopple, J. D. (1975), Sources and Metabolic Pathways of Lead in Normal Humans, Proceedings of the Conference on Recent Advances in the Assessment of Health Effects of Environmental Pollution, Paris, 1974, Commission of European Communities, Luxembourg, pp. 847–860.
Blake, K. C. H. (1976), Absorption of 2 0 3Pb from the Gastrointestinal Tract of Man, Environ. Res., 11, 1–4.
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© 1997 Springer-Verlag London Limited
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Cattaneo, G., Formenti, E., Mauri, G., Vaccaro, A., Margara, L. (1997). Essential Transformations of the One Dimensional Cellular Automata Rule Space and Endomorphisms of Compact Abelian Groups. In: ACRI ’96. Springer, London. https://doi.org/10.1007/978-1-4471-0941-9_5
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DOI: https://doi.org/10.1007/978-1-4471-0941-9_5
Publisher Name: Springer, London
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