Infinite Dimensional Dynamical Systems
Development of a set-oriented numerical technique which allows to compute low-dimensional invariant sets for infinite dimensional dynamical systems.
Systems of interest:
- Delay Differential Equations (DDEs): type of differential equation in which the time derivative of the unknown function depends not only on the current state but also on previous times.
Focus of interest: Analysis of long term behavior of DDEs
Applications: e.g. signal processing, disease transition, population models