Dresden 2009 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Statistical physics of complex networks

DY 29.6: Vortrag

Freitag, 27. März 2009, 11:30–11:45, ZEU 255

Complex dynamics on dissortative scale-free networks — •Jörg Menche, Angelo Valleriani, and Reinhard Lipowsky — Max-Planck-Institute of Colloids and Interfaces, Science Park Golm, 14424 Potsdam, Germany

Many biological and technological networks have been found to exhibit scale-free degree distributions together with dissortative mixing by degree. We study the properties of local majority rule dynamics on such networks. Networks without degree correlations only show two stable fixed points that correspond to the completely ordered states. In contrast, networks with degree correlations are found to exhibit a large number of additional attractors. Surprisingly, the number of attractors does not increase monotonously as a function of network size, but reaches a maximum for intermediate sizes. This can be explained by the reduction in the maximal dissortativity that can be achieved for scale-free networks in the limit of large network sizes.