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Book Sections Year : 2018

Is there a trade-off between simplicity and robustness? Illustration on a lattice-gas model of swarming

Nazim Fatès
Vincent Chevrier
Olivier Bouré
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Abstract

We re-examine a cellular automaton model of swarm formation. The local rule is stochastic and defined simply as a force that aligns particles with their neighbours. This lattice-gas cellular automaton was proposed by Deutsch to mimic the self-organisation process observed in various natural systems (birds, fishes, bacteria, etc.). We explore the various patterns the self-organisation process may adopt. We observe that, according to the values of the two parameters that define the model, the alignment sensitivity and density of particles, the system may display a great variety of patterns. We analyse this surprising diversity of patterns with numerical simulations. We ask where this richness comes from. Is it an intrinsic characteristic of the model or a mere effect of the modelling simplifications?
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Dates and versions

hal-01230145 , version 1 (29-02-2016)

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Attribution - NonCommercial

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Nazim Fatès, Vincent Chevrier, Olivier Bouré. Is there a trade-off between simplicity and robustness? Illustration on a lattice-gas model of swarming. Pierre-Yves Louis; Francesca R. Nardi. Probabilistic Cellular Automata, Springer, 2018, Emergence, Complexity and Computation, 978-3-319-65556-7. ⟨10.1007/978-3-319-65558-1_16⟩. ⟨hal-01230145⟩
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