There are many different kinds of self-organizing systems in the world. They can be of technical nature (e.g. computer networks), biological nature (e.g. colony of ants), physical nature (e.g. force of elementary magnets) or of other kind. The main properties of self-organizing systems are emergence, adaptivity, decentralization and autonomy. A challange for the research in this field is the modelling of self-organizing systems with mathematical methods.