B10
Geometric desingularization of non-hyperbolic iterated maps
A coherent theory for geometrically resolving singularities in time-discrete dynamical systems
Singularities are ubiquitous in dynamical systems. They often mark boundaries between different dynamical regimes and also serve as organizing centers for the geometry of phase space and parameter space. In this project, we aim to extend geometric desingularization methods developed in the context of continuous-time systems to various classes of discrete-time maps as well as to desingularization of space-discretizations of fast-slow partial differential equations.
- Group: B. Dynamics
- Principal Investigators: Prof. Dr. Christian Kühn, Prof. Dr. Yuri Suris
- Investigators: Luca Arcidiacono, Dr. Samuel Jelbart
- Universities: TU München, TU Berlin
- Term: since 2016