In this work we study the collective behaviour in a model of a simplified homogeneous society. Each agent is modelled as a binary perceptron, receiving neighbour's 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 neighbourhood size greater than three, the system shows a very complex phase diagram, including a disordered phase and chaotic behaviour. We present analytic calculations, mean fields approximation and numerical simulations for different values of the parameters.
Chaos in a Simple Cellular Automaton Model of a Uniform Society / F. BAGNOLI; F. FRANCI; R. RECHTMAN. - STAMPA. - 3305:(2004), pp. 513-522. (Intervento presentato al convegno 5th International Conference on Cellular Automata for Research and Industry, ACRI 2002 tenutosi a Geneva, Switzerland nel October 9–11, 2002) [10.1007/b102055].
Chaos in a Simple Cellular Automaton Model of a Uniform Society
BAGNOLI, FRANCO;FRANCI, FABIO;
2004
Abstract
In this work we study the collective behaviour in a model of a simplified homogeneous society. Each agent is modelled as a binary perceptron, receiving neighbour's 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 neighbourhood size greater than three, the system shows a very complex phase diagram, including a disordered phase and chaotic behaviour. We present analytic calculations, mean fields approximation and numerical simulations for different values of the parameters.
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