22 citations · 65 across the 30 of their papers we have counts for
4 papers · 1 filter
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.…
A K-theoretical Invariant and Bifurcation for Homoclinics of Hamiltonian Systems
Alessandro Portaluri, Nils Waterstraat
We revisit a K-theoretical invariant that was invented by the first author some years ago for studying multiparameter bifurcation of branches of critical points of functionals. Our…
A Remark on Bifurcation of Fredholm Maps
Nils Waterstraat
We modify an argument for multiparameter bifurcation of Fredholm maps by Fitzpatrick and Pejsachowicz to strengthen results on the topology of the bifurcation set. Furthermore, we…
Fredholm Operators and Spectral Flow
Nils Waterstraat
These are extended lecture notes of a PhD course that the author gave at the Universita degli studi di Torino in Italy in spring 2013.