4 citations · 4 across the 7 of their papers we have counts for
8 papers
Evans function, parity and nonautonomous bifurcations
Christian Pötzsche, Robert Skiba
The concept of parity due to Fitzpatrick, Pejsachowicz and Rabier is a central tool in the abstract bifurcation theory of nonlinear Fredholm operators. In this paper, we relate the…
Global bifurcation of homoclinic solutions
Iacopo P. Longo, Christian Pötzsche, Robert Skiba
In the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient c…
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…
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…
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…
Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems
Markus Tranninger, Richard Seeber, Martin Steinberger +2
This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The condition guarantees the existence of an observer, who…
Bifurcations in periodic integrodifference equations in I: Analytical results and applications
Christian Aarset, Christian Pötzsche
We study local bifurcations of periodic solutions to time-periodic (systems of) integrodifference equations over compact habitats. Such infinite-dimensional discrete dynamical syst…
Global continuation of homoclinic solutions
Christian Potzsche, Robert Skiba
When extending bifurcation theory of dynamical systems to nonautonomous problems, it is a central observation that hyperbolic equilibria persist as bounded entire solutions under s…