Self-organized pattern formation in a swarm system as a transient phenomenon of non-linear dynamics

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2012
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Schmickl, Thomas
Crailsheim, Karl
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Mathematical and Computer Modelling of Dynamical Systems. Taylor & Francis. 2012, 18(1), pp. 39-50. ISSN 1381-2424. eISSN 1744-5051. Available under: doi: 10.1080/13873954.2011.601418
Zusammenfassung

This article presents a microscopic model (agent positions, directions and interactions are explicitly modelled) of mobile agents (or self-propelled particles) that is inspired by the ‘complex transport networks’ reported by Jones (2010; The emergence and dynamical evolution of complex transport networks from simple low-level behaviours, International Journal of Unconventional Computing 6, pp. 125–144). Here, the agents' positions are modelled continuously. This multi-agent system (or artificial swarm) shows a wide variety of self-organized pattern formations. The self-organization is based on the non-linearity of the agents' turns (discrete jumps in the agents' directions) and the indirect interactions of the agents via a potential field that determines their motion (high values are attractive) and which is changed by themselves (agents increase the value of the potential field at their positions). At least most of the irregular and complex patterns are transient. The patterns found during the transient are more complex than those the system converges to. Still, this transient behaviour is relevant. We empirically investigate the transient times in dependence of several system parameters and give examples.

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004 Informatik
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swarm system; transient; self-organization; non-linear dynamics
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ISO 690HAMANN, Heiko, Thomas SCHMICKL, Karl CRAILSHEIM, 2012. Self-organized pattern formation in a swarm system as a transient phenomenon of non-linear dynamics. In: Mathematical and Computer Modelling of Dynamical Systems. Taylor & Francis. 2012, 18(1), pp. 39-50. ISSN 1381-2424. eISSN 1744-5051. Available under: doi: 10.1080/13873954.2011.601418
BibTex
@article{Hamann2012Selfo-58574,
  year={2012},
  doi={10.1080/13873954.2011.601418},
  title={Self-organized pattern formation in a swarm system as a transient phenomenon of non-linear dynamics},
  number={1},
  volume={18},
  issn={1381-2424},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  pages={39--50},
  author={Hamann, Heiko and Schmickl, Thomas and Crailsheim, Karl}
}
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