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Presenter: Dr. Ovide Arino - UR GEODES, IRD-Bondy (Paris, France)
Supervisor:

Date: Thu, May 2, 2002
Time: 15:30:00 - 00:00:00
Place: Clearihue A-206

ABSTRACT

ABSTRACT:

Alignment is the process, acting at the level of populations, which makes individuals place themselves in a common direction. It has been studied in many contexts: in cell tissues as well as in animal herds, flocks and swarms; it could also be identified in traffic regulation. Usually, models of alignment arise in rather complicated equations with non local terms, making a rigorous analysis a non trivial task. Most of the results obtained so far have been obtained by simulations. The model discussed here was proposed by D. Grunbaum. We considered it with a view to fish population alignment. Our main result is that, starting from a uniform distribution of body-lines, a non uniform distribution emerges, by bifurcation, when a parameter (of alignment intensity) crosses a certain threshold value. The talk will first discuss the motivation and then will proceed to the main steps of the analysis. (joint work with M. Adioui, W. Smith and J.P. Treuil)

Refreshments will be served at 3:00 p.m.