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Room P3.10, Mathematics Building
Rogério Martins, Universidade Nova de Lisboa
When is the attractor of a dissipative system in the cylinder
homeomorphic to the circle?
We look for conditions under which the attractor of a dissipative
system in the cylinder is homeomorphic to the circle. On the other
hand, we show how the appearance of periodic inversely
unstable solutions imply that the attractor is not homeomorphic to
the circle. We apply these results to the particular case of
the damped pendulum type equation driven by a periodic force.