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Chaos in cellular automaton systems with Toom rule

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  • Makowiec, Danuta

Abstract

The critical behaviour of cellular automata can be studied like in chaotic systems as the sensitivity to initial conditions. We find the fractal dimension for the basin boundary set of the attracting configurations. Morever, obtained data allow us to qualify configurations from the attracting set.

Suggested Citation

  • Makowiec, Danuta, 1996. "Chaos in cellular automaton systems with Toom rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 435-442.
    • Handle: RePEc:eee:phsmap:v:234:y:1996:i:1:p:435-442
    DOI: 10.1016/S0378-4371(96)00275-0
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    References listed on IDEAS

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    1. Giancarlo Gandolfo & Pier Carlo Padoan & Giuseppe De Arcangelis & Clifford R. Wymer, 1994. "The Italian Continuous Time Model: Results of the Nonlinear Estimation," CESifo Working Paper Series 69, CESifo.
    2. Grassberger, Peter & Stauffer, Dietrich, 1996. "Stretched and non-stretched exponential relaxation in Ising ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 171-179.
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