Chair of Dynamics and Control
||The main teaching and research activities are focused on
dynamical systems and quantitative and qualitative methods
for their analysis. A broad range of different model classes
is necessary to understand complex phenomena, including
models with or without delay, deterministic or random,
low-dimensional or generated by partial differential
equations, time-invariant or time-varying.
Conceptually different approaches are developed for
nonautonomous dynamical systems, for experimentally or
numerically observed finite-time systems with time in a
bounded interval or generalized models which play a role in
biological and network applications.
Some of the key interests are spectral theory, invariant and
inertial manifolds, timescale separation, reduction by
Hartman-Grobman and normal form results, stability radii,
bifurcation theory and attractors. Our group is open to new
ideas fostering a broader understanding of complex systems
within mathematics and beyond.
Prof. Stefan Siegmund