13 citations · 14 across the 8 of their papers we have counts for
16 papers
The Equivariant Spectral Flow and Bifurcation of Periodic Solutions of Hamiltonian Systems
Marek Izydorek, Joanna Janczewska, Nils Waterstraat
We define a spectral flow for paths of selfadjoint Fredholm operators that are equivariant under the orthogonal action of a compact Lie group as an element of the representation ri…
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…
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…
On a Comparison Principle and the Uniqueness of Spectral Flow
Maciej Starostka, Nils Waterstraat
The spectral flow is a well-known quantity in spectral theory that measures the variation of spectra about along paths of selfadjoint Fredholm operators. The aim of this work i…
Parity flow as -valued spectral flow
Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat
This note is about the topology of the path space of linear Fredholm operators on a real Hilbert space. Fitzpatrick and Pejsachowicz introduced the parity of such a path, based on…
On the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems
Jakub Ciesielski, Joanna Janczewska, Nils Waterstraat
We show the existence of homoclinic type solutions of second order Hamiltonian systems with a potential satisfying a relaxed superquadratic growth condition and a forcing term that…