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 Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

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. 
@article{EP_2014_45_a1,
     author = {Pierre Degond and S\'ebastien Motsch},
     title = {Collective dynamics and self-organization: some challenges and an example},
     journal = {ESAIM. Proceedings},
     pages = {1--7},
     year = {2014},
     volume = {45},
     doi = {10.1051/proc/201445001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201445001/}
}
TY  - JOUR
AU  - Pierre Degond
AU  - Sébastien Motsch
TI  - Collective dynamics and self-organization: some challenges and an example
JO  - ESAIM. Proceedings
PY  - 2014
SP  - 1
EP  - 7
VL  - 45
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201445001/
DO  - 10.1051/proc/201445001
LA  - en
ID  - EP_2014_45_a1
ER  - 
%0 Journal Article
%A Pierre Degond
%A Sébastien Motsch
%T Collective dynamics and self-organization: some challenges and an example
%J ESAIM. Proceedings
%D 2014
%P 1-7
%V 45
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201445001/
%R 10.1051/proc/201445001
%G en
%F EP_2014_45_a1
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

Cité par Sources :