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BP: Fachverband Biologische Physik

BP 7: Posters: Statistical Physics in Biological Systems

BP 7.11: Poster

Monday, March 14, 2011, 17:15–20:00, P3

The Influence of local Symmetries on the Properties of large Complex Systems — •Helge Aufderheide, Lars Rudolf, and Thilo Gross — MPI-PKS, Dresden, Germany

The stability of large complex systems is a topic of intense scientific research. In this work, we investigated topological properties of their graph representations. In particular, we focused on local symmetries, called orbits, whose properties were connected to those of the whole network by applying results from graph theory. A powerful tool to study stability in this context is the generalized models approach, which can be used to study asymptotic stability properties of complex systems without being limited to the specific functional forms of a model. Combining graph theory arguments with generalized modeling we investigated the example of trophic food webs. Thereby we were able to establish a link between the occurrence of local symmetries and stability on the global level.