The Index Bundle and Multiparameter Bifurcation for Discrete Dynamical Systems
Functional Analysis
2016-12-20 v1 Dynamical Systems
K-Theory and Homology
Abstract
We develop a -theoretic approach to multiparameter bifurcation theory of homoclinic solutions of discrete non-autonomous dynamical systems from a branch of stationary solutions. As a byproduct we obtain a family index theorem for asymptotically hyperbolic linear dynamical systems which is of independent interest. In the special case of a single parameter, our bifurcation theorem weakens the assumptions in previous work by Pejsachowicz and the first author.
Cite
@article{arxiv.1612.05837,
title = {The Index Bundle and Multiparameter Bifurcation for Discrete Dynamical Systems},
author = {Robert Skiba and Nils Waterstraat},
journal= {arXiv preprint arXiv:1612.05837},
year = {2016}
}
Comments
30 pages