Geometric desingularization of non- hyperbolic equilibria of iterated maps (B10)

• Subject Area: Mathematics
• Term: from 2017 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 195170736

The main theme of this project is the analysis of loss of normal hyperbolicity at singularities in the context of discretized dynamical systems with multiple time scales using geometric blow-up methods. The focus will be on delay effects for fast-slow maps and to investigate suitable discretized paths in the complex plane. Beyond the case of iterated maps, we also aim to make the first key steps to study discretizations of fast-slow partial differential equations via spectral Galerkin semi-discretization in space.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 109: Discretisation in Geometry and Dynamics
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professor Christian Kühn, Ph.D.; Professor Dr. Yuri B. Suris