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.