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math.DS2022
Numerical dynamics of integrodifference equations: Periodic solutions and invariant manifolds in
Christian Pötzsche
Integrodifference equations are versatile models in theoretical ecology for the spatial dispersal of species evolving in non-overlapping generations. The dynamics of these infinite…
math.DS2022
Urysohn and Hammerstein operators on H"older spaces
Christian Pötzsche
We present an application-oriented approach to Urysohn and Hammerstein integral operators acting between spaces of H"older continuous functions over compact metric spaces. These no…
math.DS2022
Numerical Dynamics of Integrodifference Equations: Forward Dynamics and Pullback Attractors
Huy Huynh, Peter E. Kloeden, Christian Pötzsche
In order to determine the dynamics of nonautonomous equations both their forward and pullback behavior need to be understood. For this reason we provide sufficient criteria for the…