Geodesic
Collective dynamics and self-organization: some challenges and an example
Pierre Degond1 ; Sébastien Motsch2
1 Université de Toulouse; UPS, INSA, UT1, UTM ; Institut de Mathématiques de Toulouse ; F-31062 Toulouse, France and CNRS; Institut de Mathématiques de Toulouse UMR 5219 ; F-31062 Toulouse, France.
2 School of Mathematics and Statistical Sciences, Arizona State University, Tempe AZ 85287, USA.
ESAIM. Proceedings, Tome 45 (2014), pp. 1-7.

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In this review, we present an example of a system of collectively moving agents which exhibit spontaneous self-organization: this example consist of a model of ant-trail formation. We use this example to illustrate what are the challenges in the mathematical modeling of these systems and to outline some possible methodological tracks.
DOI : 10.1051/proc/201445001

Pierre Degond 1 ; Sébastien Motsch 2

1 Université de Toulouse; UPS, INSA, UT1, UTM ; Institut de Mathématiques de Toulouse ; F-31062 Toulouse, France and CNRS; Institut de Mathématiques de Toulouse UMR 5219 ; F-31062 Toulouse, France.
2 School of Mathematics and Statistical Sciences, Arizona State University, Tempe AZ 85287, USA. 
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Pierre Degond; Sébastien Motsch. Collective dynamics and self-organization: some challenges and an example. ESAIM. Proceedings, Tome 45 (2014), pp. 1-7. doi : 10.1051/proc/201445001. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445001/

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