Public Lecture in English

This talk provides an overview of the significance of hyperbolicity in dynamic systems and demonstrates what additional structures and information become apparent when this property is lost. Building on classical bifurcation theory, it explains how simplifying reductions can obscure important aspects of complex systems.

The focus is on geometric desingularization as a method for uncovering hidden dynamics in non-autonomous systems, adaptive networks, and multiscale partial differential equations. The examples illustrate that the loss of hyperbolicity opens up new challenges, but also provides deeper insights into complex systems.

Speaker:

Prof. Dr. Christian Kühn from the Technical University of Munich