Chaos in a Simple Cellular Automaton Model of a Uniform Society

  • Franco Bagnoli
  • Fabio Franci
  • Raúl Rechtman
Conference paper
Part of the Lecture Notes in Computer Science book series (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.

Keywords

Lyapunov Exponent Cellular Automaton Cellular Neural Network Cellular Automaton Model Transient Chaos 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Franco Bagnoli
    • 1
    • 2
    • 4
    • 5
  • Fabio Franci
    • 2
    • 4
  • Raúl Rechtman
    • 3
  1. 1.Dipartimento di EnergeticaUniversità di FirenzeFirenzeItaly
  2. 2.Centro Interdipartimentale per lo Studio delle Dinamiche ComplesseUniversità di FirenzeItaly
  3. 3.Centro de Investigacíon en Energía, UNAMTemixcoMexico
  4. 4.INFM, Sezione di Firenze 
  5. 5.INFN, Sezione di Firenze 

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