Christian Pötzsche (Department of Mathematics, Alpen-Adria-University Klagenfurt, Austria) Bifurcation and Discretization in Integrodifference Equations

Integrodifference equations are infinite-dimensional dynamical systems in discrete time. They are motivated by theoretical ecology in order to describe the spatial dispersal and temporal evolution of species having non-overlapping generations. In this talk, we review some recent work addressing two aspects concerning their long-term behavior:

(1) Bifurcation theory of periodic equations, which requires a combination of analytical and numerical techniques (joint work with Christian Aarset)

(2) Numerical Dynamics (persistence of dynamical properties under numerical discretization)