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Towards a Comprehensive Understanding of Multi-state Cellular Automata

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Cellular Automata (ACRI 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8751))

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Abstract

Motivated by the fact that many cellular automata (CAs) for describing biological, physical or chemical processes are built upon more than two states, whereas most the majority of results on the stability of CAs is restricted to two-state CAs, we show in this paper how non-directional Lyapunov exponents can be used to assess the stability of multi-state CAs. Moreover, we pay particular attention to the different types of defects that may emerge during the evolution of such CAs from a single initial defect of a given type. Numerical results are presented for the family of three-state totalistic CAs.

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Author information

Authors and Affiliations

  1. KERMIT, Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Coupure links 653, Gent, Belgium

    Jan M. Baetens & Bernard De Baets

Authors
  1. Jan M. Baetens
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  2. Bernard De Baets
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Editors and Affiliations

  1. Dept. of Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Krakow, Poland

    Jarosław Wąs

  2. Dept. of Electrical and Computer Engineering, Democritus University of Thrace, 67100, Xanthi, Greece

    Georgios Ch. Sirakoulis

  3. CSAI - Complex Systems and Artificial Intelligence Research Center, University of Milano-Bicocca, 20126, Milan, Italy

    Stefania Bandini

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Baetens, J.M., De Baets, B. (2014). Towards a Comprehensive Understanding of Multi-state Cellular Automata. In: Wąs, J., Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2014. Lecture Notes in Computer Science, vol 8751. Springer, Cham. https://doi.org/10.1007/978-3-319-11520-7_3

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  • DOI: https://doi.org/10.1007/978-3-319-11520-7_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11519-1

  • Online ISBN: 978-3-319-11520-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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