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Synthesis of Non-uniform Cellular Automata Having only Point Attractors

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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

This paper studies a special class of non-uniform cellular automata (CAs) that contain only single length cycle (point) attractors in their state space. These CAs always converge to some point attractors. A number of theorems and lemmas are reported in this paper to characterize this class of CAs. Reachability tree, a discrete tool for characterizing 1-d CA, has been utilized to develop theories for these types of CAs. We finally report an algorithm that synthesizes a non-uniform cellular automaton having only point attractors.

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References

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Author information

Authors and Affiliations

  1. Department of Information Technology, Seacom Engineering College, Howrah, 711302, India

    Nazma Naskar

  2. Department of Information Technology, Indian Institute of Engineering Science and Technology, Shibpur, formerly Bengal Engineering and Science University, Shibpur, 711103, India

    Sumit Adak & Sukanta Das

  3. Indian Statistical Institute, Machine Intelligence Unit, 203 B. T. Road, 700108, Kolkata, India

    Pradipta Maji

Authors
  1. Nazma Naskar
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  2. Sumit Adak
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  3. Pradipta Maji
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  4. Sukanta Das
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Editor information

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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© 2014 Springer International Publishing Switzerland

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Naskar, N., Adak, S., Maji, P., Das, S. (2014). Synthesis of Non-uniform Cellular Automata Having only Point Attractors. 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_12

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  • DOI: https://doi.org/10.1007/978-3-319-11520-7_12

  • 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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