
Palestrante/Speaker: Isabel S. Labouriau
Resumo/ Abstract: We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a global saddle. We also address the special case of D2- symmetric maps, for which we obtain a similar result for C1 homeomorphisms. Some applications to differential equations are also given.
This is joint work with B. Alarcón (UFF) and S.B.S.D. Castro (CMUP).