Predavatelj: Hector Barge (Universidad Politécnica de Madrid)
Povzetek: Let f_λ : M → M with λ ∈ [0, 1] be a parametrized family of homeomorphisms of a manifold M. We say that an attractor K ⊆ M of f_0 undergoes a Hopf bifurcation at λ = 0 provided that K is a repeller for f_λ for every λ > 0. Whenever an attractor undergoes a Hopf bifurcation, there appears a family of attractors K_λ that converges to K upper semicontinously as λ → 0. In this talk we shall see that in many interesting situations we can characterize the Borsuk homotopy type of these attractors. These results have been obtained in collaboration with J. M. R. Sanjurjo and J. J. Sánchez-Gabites.
Predavanje bo 17. 10. 2025 ob 13:00 v predavalnici 01/20.
