I want to get a dataset of a functional dynamic complex system. The dataset is needed to model the system's topology, through which an analysis would be performed.
It is possible to search in biology and medicine for datasets. There are plenty of them. According to my personal experiences biosignals might be interesting for your research.
My field is ECG recordings and their applications to assessment of the operational mode of the complex system, in my case the cardiovascular system with focuss on the heart.
MIT has a database of heart arrhytmias, for example. The drawback of such databases is the shortness of recordings. It would be much better to search for biosignals that are recorded in long term like: