A robustness approach to study metastable behaviours in a lattice-gas model of swarming

Olivier Bouré (1) , Nazim Fatès (1) , Vincent Chevrier (1)

1 MAIA - Autonomous intelligent machine

Research in biology is increasingly interested in discrete dynamical systems to simulate natural phenomena with simple models. But how to take into account their robustness? We illustrate this issue by considering the behaviour of a lattice-gas model with an alignment-favouring interaction rule. This model, which has been shown to display a phase transition between an ordered and a disordered phase, follows ergodic dynamics. We present a method based on the study of stability and robustness, and show that the organised phase may result in several different behaviours. We then observe that behaviours are influenced asymptotically by the definition of the cellular lattice.

Mots clés: swarming behaviour; lattice-gas cellular automata; phasetransitions; robustness; discretisation effects; resonance effects

Domaines: Automates cellulaires et gaz sur réseau [nlin.CG]

Olivier Bouré, Nazim Fatès, Vincent Chevrier. A robustness approach to study metastable behaviours in a lattice-gas model of swarming. 19th International Workshop, AUTOMATA 2013, Sep 2013, Giessen, Germany. pp.84-97, ⟨10.1007/978-3-642-40867-0_6⟩. ⟨hal-00768831⟩