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International Conference on Cellular Automata

ACRI 2004: Cellular Automata pp 513–522Cite as

Chaos in a Simple Cellular Automaton Model of a Uniform Society

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3305))

Abstract

In this work we study the collective behavior in a model of a simplified homogeneous society. Each agent is modeled as a binary “perceptron”, receiving neighbors’ opinions as inputs and outputting one of two possible opinions, according to the conformist attitude and to the external pressure of mass media. For a neighborhood size greater than three, the system shows a very complex phase diagram, including a disordered phase and chaotic behavior. We present analytic calculations, mean fields approximation and numerical simulations for different values of the parameters.

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Author information

Authors and Affiliations

  1. Dipartimento di Energetica, Università di Firenze, Via S. Marta, 3, I-50139, Firenze, Italy

    Franco Bagnoli

  2. Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, Università di Firenze, Italy

    Franco Bagnoli & Fabio Franci

  3. Centro de Investigacíon en Energía, UNAM, 62580, Temixco, Morelos, Mexico

    Raúl Rechtman

  4. INFM, Sezione di Firenze,  

    Franco Bagnoli & Fabio Franci

  5. INFN, Sezione di Firenze,  

    Franco Bagnoli

Authors
  1. Franco Bagnoli
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  2. Fabio Franci
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  3. Raúl Rechtman
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Editor information

Editors and Affiliations

  1. Faculty of Sciences, Section of Computational Science, University of Amsterdam, Kruislaan 403, 1098 SJ, Amsterdam, The Netherlands

    Peter M. A. Sloot

  2. Computer Science Department, University of Geneva, Switzerland

    Bastien Chopard

  3. Section Computational Science, University of Amsterdam, The Netherlands

    Alfons G. Hoekstra

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© 2004 Springer-Verlag Berlin Heidelberg

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Bagnoli, F., Franci, F., Rechtman, R. (2004). Chaos in a Simple Cellular Automaton Model of a Uniform Society. In: Sloot, P.M.A., Chopard, B., Hoekstra, A.G. (eds) Cellular Automata. ACRI 2004. Lecture Notes in Computer Science, vol 3305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30479-1_53

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  • DOI: https://doi.org/10.1007/978-3-540-30479-1_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23596-5

  • Online ISBN: 978-3-540-30479-1

  • eBook Packages: Springer Book Archive

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