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Chaos in a simple cellular automata model of a uniform society

Franco Bagnoli·Fabio Franci·Raúl Rechtman
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Abstract

In this work we study the collective behaviors arising 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 numeric simulations for different values of the parameters.

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Franco Bagnoli, Fabio Franci, Raúl Rechtman. 2005-11-01. Chaos in a simple cellular automata model of a uniform society. https://arxiv.org/abs/nlin/0511002

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