Abstract
The collective behavior of totalistic illegal cellular automata rules in d=3 with high connectivity is studied. P3 and QP3 behavior of a family of rules is located obtaining the Shannon information function and using a mean-field approximation.For the QP3 behavior the time autocorrelation function decays as a power law with an exponent of -1/2.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Wolfram. Rev. Mod. Phys 55, 601
Harrison, R. M. and Parker, J. (1977), Analysis of Particulate Pollutants, in Handbook of Air Pollution Analysis (ed. R. Perry and R. J. Young), Chapman and Hall, London, pp. 84–156.
Little, P. and Wiffen, R. D. (1977), Emission and Deposition of Petrol Engine Exhaust Pb — I. Deposition of Exhaust Pb to Plant and Soil Surfaces, Atmos. Environ., 11, 437–447.
Shaheen, D.G. (1975), Contributions of Urban Roadway Usage to Water Pollution, Environ. Prot. Agency Rep., EPA 600/2-75-004, Washington DC.
Ter Haar, G. L., Lenane, D. L., Hu, J. N. and Brandt, M. (1972), Composition, Size and Control of Automotive Exhaust Particulates, J. Air Pollut. Control Assoc., 22, 39–46.
Cawse, P. A. (1974), A Survey of Atmospheric Trace Elements in the UK (1972–73), UK Atomic Energy Authority Rep., AERE R7669, HMSO, London.
Harrison, R. M., Perry, R. and Wellings, R. A. (1975), Lead and Cadmium in Precipitation: Their Contribution to Pollution, J. Air Pollut. Control Assoc., 25, 627–630.
Laxen, D. P. H. and Harrison, R. M. (1977), The Highway as a Source of Water Pollution: An Appraisal with the Heavy Metal Lead, Water Res., 11, 1–11.
Lester, J. N., Harrison, R. M. and Perry, R. (1979), The Balance of Heavy Metals through a Sewage Treatment Works. I. Lead, Cadmium and Copper, Sci. Tot. Environ., 12, 13–23.
Berrow, M. L. and Webber, J. (1972), Trace Elements in Sewage Sludges, J. Sci. Food Agric., 23, 93–100.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag London Limited
About this paper
Cite this paper
Jiménez-Morales, F., Karma, H., Luque, J.J., Lemos, M.C. (1997). Quasiperiod-3 and period-3 collective behavior in three dimensional totalistic illegal cellular automata with high connectivity. In: ACRI ’96. Springer, London. https://doi.org/10.1007/978-1-4471-0941-9_7
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0941-9_7
Publisher Name: Springer, London
Print ISBN: 978-3-540-76091-7
Online ISBN: 978-1-4471-0941-9
eBook Packages: Springer Book Archive