Movimentos sob atração focal em campos vetoriais planares
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Data
2008-08-29
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Universidade Federal de Goiás
Resumo
In this work, we develop the article On the motion under focal attraction
in a rotating medium , of J. Sotomayor, which deals with a bidimensional
differential system that model the following Biological problem: in a shallow
recipient with circular section, with liquid in, spinning with angular speed ω, there
are platyhelminthes, flatworms organisms, they are attracted by a fix lighting
point near of the border of the recipient and they swim with a speed v in the
direction of the this point. The problem is to show that there exists an equilibrium
point where platyhelminthes go to cluster by the time passing. It s analyzed the
dynamic of the model: existence of critical points and stability of the system and
bifurcations. We analyzed three modifications of this system too. In the last
part, it s discussed a criterium for non existence of periodic orbits of a planar
vector fields in a simply connected region.
Descrição
Citação
MARTINS, Tiberio Bittencourt de Oliveira. Motions under focal attraction in planar vector fields. 2008. 70 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiania, 2008.