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On mapping onto self-organized criticality

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Języki publikacji
EN
Abstrakty
EN
In the report we have discussed a few aspects of SOC concept which in general have strongly influence on explicitness of mapping process. SOC idea is based on group of models and/does not seem to give quite clear instructions whether mapped phenomena exhibit SOC or not. To present the problem we have performed a computer simulation in order to investigate the effect of the critical point within the system evolution process without conservation. We have considered that on two-dimensional cellular automata whose rule consists of one or two subrules. The first one, based on Conway’s model (or very similar to), has represented the local behavior of transmission processes and has been applied in the experiment synchronously, as a fundamental mode. The second one, called a transport rule, has been applied sequentially. That subrule has described the motion of a fraction of individuals. As a result of comparing models of the various sets of rules for the applied size of lattice, we could find that the modified Conway’s model would be merely treated as subcritical.
Rocznik
Tom
Strony
207--216
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
  • Institute of Computer Science, University of Podlasie Sienkiewicza Street 51, 08-110 Siedlce, Poland
Bibliografia
  • [1] R.A. Frosch, Notes toward a Theory of Accident Precursors and Catastrophic System Failure, http://www.riskinstitute.org/newsite/uploads/ NAE_175- 186.pdf.
  • [2] P. Bak, C. Tang and K. Wiesenfeld, “Self-Organized Critically: An Explanation of 1/f noise”, in Phys. Rev. Lett., 59, 4, 1987, pp. 381-384; P. Bak, How Nature Works: Science of Self-Organized Critically, rev. book by O. Teran, http://jasss.soc.surrey. ac.uk/4/4/reviews/bak.html; Self-Organizing Systems (SOS) faq, http://www.calresco.org/sos/sos.faq.html.
  • [3] P. Bak, K. Chen and M. Kreutz, “Self-Organized Critically in the Game of Life”, in Nature, 342, 1989, pp. 780-2.
  • [4] P. Alstrom and J. Leo, “Self-organized criticality in the ‘game of Life’”, Phys. Rev., E I 49 R, 1994, pp. 2507-8.
  • [5] C. Bennet and M. Bourzutschky, Nature, 1, 350, 1989, cited after H.J. Blok [6].
  • [6] H.J. Blok, “Life without bounds: Does the Game of Life exhibit Self-Organized Critically In the thermodynamic limit?”, http://www.zoology.ubc.ca/~rikblok/lib/blok95b.pdf.
  • [7] H.-O. Peitgen, H. Jurgens and D. Saupe, Fractals for the Classroom. Part 2: Complex Systems and Mandelbrot Set, Polish ed. K. Kułakowski, Automaty komórkowe, http://www.ftj.agh.edu.pl/~kulakowski/AC/.
  • [8] J. Bontes, Homepage for Life32, http://psoup.math.wisc.edu/Life32. html
  • [9] I.M. Janosi and J. Kertesz, “Self-Organized Critically with and without Conservation”, Physica A, 1993, 200, pp. 179-1888, http://karman3. elte.hu/janosi/foolda.html.
  • [10] D. Sornette, A. Johansen and I. Dornic, “Mapping self-organized criticality onto criticality”, http://www.nature.com/nature/debates/earthquake/ equake_25.html.
  • [11] N. Boccara, O. Roblin and M. Roger, “Router to chaos for a global variable of a two-dimensional ‘game-of-life type’ automata network”, cited after [5].
  • [12] R. Mansilla and J. Gutierrez, “Deterministic site exchange cellular automata models for the spread of decease in human settlements”, http://arxiv.org/PS_cache/nlin/pdf/0004/0004012.pdf.
  • [13] I.M. Janosi and A. Czirok, “Fractal clusters and self-organized critically”, http://www.nature.com/nature/debates/earthquake/equake_25.html; H.J. Blok cited above.
  • [14] R. Thom, Structural Stability and Morphogenesis. An Outline of General Theory of Models, Massachusetts, 1975.
  • [15] D. Sornette, A. Johansen, I. Dornic, Mapping Self-Organized Criticality onto Criticality, http://arxiv.org/abs/adap-org/9411002.
  • [16] S. Lise, M. Paczuski, Scaling in a nonconservative earthquake model of self-organized criticality, http://www.ma.ic.ac.uk/~paczuski/papers/ PRE46111 .pdf.
  • [17] N. Winslow, Introduction to Self-Oorganize Criticality & Earthquake, http:// www.geo.lsa.umich.edu/~ruff/Geo105.W97/S0C/S0Ceq.html.
  • [18] R. Frigg, Self-Organized Criticality - What It Is and What It Isn’t, http:// www.lse.ac.uk/collections/CPNSS/ pdf/DP_withCover_Measurement/Meas- DP%2019%2002.pdf.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-f152e2cd-11d1-43d0-9c06-5e684c74d393
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