Maik Groger, University of Vienna

Title:
Bifurcation sets from families of bounded orbits, open dynamics and matching

Abstract:
In the study of parameter-dependent behavior of specific dynamical quantities (like entropy, surviving sets or invariant densities) in families of one-dimensional maps, universal bifurcation sets (i.e., the set of parameters where the corresponding dynamical quantity is changing) occur naturally. We will exemplify this phenomena in the context of open dynamics and will present general topological properties of these bifurcation sets. This is in part joint work with Gabriel Fuhrmann and Alejandro Passeggi.