2.3. Differential Equations, Dynamical Systems and Numerical Analysis

Description of the programme.

The main theme of this programme is the analysis of non-linear differential equations and dynamical systems, from low-dimensional systems such as maps (or discrete systems) and ordinary differential equations, to high-dimensional systems, such as partial differential equations and lattice equations. It is the aim of the programme to develop fundamental insight in the complex behavior exhibited by non-linear systems. The combination and cross-fertilization of mathematical analysis and numerical methods plays an essential role in this context. The character of the scientific research may be of a pure mathematical nature, but can also be mostly numerical. The motivation may be intrinsically mathematical, or can be driven by interactions with applications.