Preprint of the project:
06-006 Thorsten Hüls.
A Model Function for Non-Autonomous Bifurcations of Maps
In this paper, we introduce a class of one-dimensional
non-autonomous dynamical systems that allows an explicit study of its
orbits as well as of the solutions of the associated variational
equation. Furthermore, the solution operators also have explicit
representations. In a special case, the model function can be
transformed into the non-autonomous Beverton-Holt equation. We use
this function for analyzing various notions of non-autonomous
transcritical and pitchfork bifurcations that have been recently
developed in the literature.
