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math.FA2020
The Index Bundle for Selfadjoint Fredholm Operators and Multiparameter Bifurcation for Hamiltonian Systems
Robert Skiba, Nils Waterstraat
The index of a selfadjoint Fredholm operator is zero by the well-known fact that the kernel of a selfadjoint operator is perpendicular to its range. The Fredholm index was generali…
math.FA2020
Fredholm theory of families of discrete dynamical systems and its applications to bifurcation theory
Robert Skiba, Nils Waterstraat
In a previous work, we proved an index theorem for families of asymptotically hyperbolic discrete dynamical systems and obtained applications to bifurcation theory. A weaker and fa…
math.FA2016
The Index Bundle and Multiparameter Bifurcation for Discrete Dynamical Systems
Robert Skiba, Nils Waterstraat
We develop a -theoretic approach to multiparameter bifurcation theory of homoclinic solutions of discrete non-autonomous dynamical systems from a branch of stationary solutions.…