Skip to main content

Research Repository

Advanced Search

Outputs (2)

The bifurcation set as a topological invariant for one-dimensional dynamics (2021)
Journal Article
Fuhrmann, G., Gröger, M., & Passeggi, A. (2021). The bifurcation set as a topological invariant for one-dimensional dynamics. Nonlinearity, 34(3), Article 1366. https://doi.org/10.1088/1361-6544/abb78c

For a continuous map on the unit interval or circle, we define the bifurcation set to be the collection of those interval holes whose surviving set is sensitive to arbitrarily small changes of (some of) their endpoints. By assuming a global perspecti... Read More about The bifurcation set as a topological invariant for one-dimensional dynamics.