A dynamical system is a system that changes over time. These systems occur in practically all applications, e.g. in vehicle dynamics, in air conditioning, in the atmosphere or in astrodynamics. Numerical methods can be used to predict the short-term and long-term behaviour of such systems. In this way, dynamic effects such as vibration behaviour can be investigated and influenced.

In almost all applications today, several objectives are of interest. In a production process, for example, quality should be maximised and manufacturing costs minimised at the same time. In autonomous driving, you want to drive quickly and energy-efficiently at the same time. Modern mathematical methods make it possible to calculate the set of optimal compromises (the so-called Pareto set) between the competing target functions. This makes it possible to develop intelligent systems that react to their environment and can adapt their goals according to the operator's wishes.