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International Conference on Complex Systems

ICCS 2018: Unifying Themes in Complex Systems IX pp 82–90Cite as

Recognizing Complex Behavior Emerging from Chaos in Cellular Automata

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Abstract

In this research, we explain and show how a chaotic system displays non-trivial behavior as a complex system. This result is reached modifying the chaotic system using a memory function, which leads to a new system with elements of the original function which are not evident in a first step. We proof that this phenomenology can be apprehended selecting a typical chaotic function in the domain of elementary cellular automata to discover complex dynamics. By numerical simulations, we demonstrate how a number of gliders emerge in this automaton and how some controlled subsystems can be designed within this complex system.

Keywords

  • Complex dynamics
  • Chaos
  • Emergence
  • Gliders
  • Glider guns
  • Memory

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Notes

  1. 1.

    Basins and attractors were calculated with Discrete Dynamical System DDLab available from http://www.ddlab.org/.

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Author information

Authors and Affiliations

  1. Artificial Life Robotics Lab, Escuela Superior de Cómputo, Instituto Politécnico Nacional, Mexico City, Mexico

    Gabriela M. González & Genaro J. Martínez

  2. Unconventional Computing Lab, University of the West of England, Bristol, BS16 1QY, UK

    Genaro J. Martínez

  3. Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, BP. 540, 76600, Le Havre, France

    M. A. Aziz Alaoui

  4. School of Science, Hangzhou Dianzi University, Hangzhou, China

    Fangyue Chen

Authors
  1. Gabriela M. González
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  2. Genaro J. Martínez
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  3. M. A. Aziz Alaoui
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  4. Fangyue Chen
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Corresponding author

Correspondence to Gabriela M. González .

Editor information

Editors and Affiliations

  1. New England Complex Systems Institute, Cambridge, MA, USA

    Prof. Alfredo J. Morales

  2. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Mexico, Distrito Federal, Mexico

    Dr. Carlos Gershenson

  3. New England Complex Systems Institute and University of Massachusetts, Cambridge, MA, USA

    Dan Braha

  4. Department of Electrical Engineering and Computer Science, University of Cincinnati, Cincinnati, OH, USA

    Ali A. Minai

  5. New England Complex Systems Institute, Cambridge, MA, USA

    Yaneer Bar-Yam

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González, G.M., Martínez, G.J., Aziz Alaoui, M.A., Chen, F. (2018). Recognizing Complex Behavior Emerging from Chaos in Cellular Automata. In: Morales, A., Gershenson, C., Braha, D., Minai, A., Bar-Yam, Y. (eds) Unifying Themes in Complex Systems IX. ICCS 2018. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-96661-8_8

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