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A robustness approach to study metastable behaviours in a lattice-gas model of swarming
Abstract : 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.
Cited literature [28 references]
https://hal.inria.fr/hal-00768831
Contributor : Olivier Bouré <>
Submitted on : Tuesday, December 25, 2012 - 11:46:07 AM
Last modification on : Tuesday, December 18, 2018 - 4:40:21 PM
Long-term archiving on: : Tuesday, March 26, 2013 - 2:45:09 AM
Contributor : Olivier Bouré <>
Submitted on : Tuesday, December 25, 2012 - 11:46:07 AM
Last modification on : Tuesday, December 18, 2018 - 4:40:21 PM
Long-term archiving on: : Tuesday, March 26, 2013 - 2:45:09 AM
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SwarmLGCA2_-_HAL.pdf
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