Resumo:
This work has its initial motivation in the article “On the motion under focal attraction
in a rotating medium”, by J. Sotomayor [9], which models the following problem
of planar differential equations present, for example, in biology: Inside a shallow circular
container, we put a liquid and several species of flatworms that swim with different speeds
in the direction of a luminous point fixed on the edge of this container. The objective is
to subject the liquid to a constant rotation in order to isolate each of the different species
present in the experiment. After this initial study, two modifications were made in the
model of differential equations, adding a radial drift to the system. Through these modifications,
we studied the bifurcation diagram of each of these systems, which involved
bifurcations of Bogdanov-Takens, Hopf and Saddle-node types.
