Berlin 2015 – scientific programme

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BP: Fachverband Biologische Physik

BP 6: Networks: From Topology to Dynamics I (joint SOE/DY/BP)

BP 6.4: Talk

Monday, March 16, 2015, 13:00–13:15, MA 001

Noise in Coevolving Networks — •Marina Diakonova, Victor Eguiluz, and Maxi San Miguel — Instituto de Física Interdisciplinar y Sistemas Complejos IFISC (CSIC-UIB), E07122 Palma de Mallorca, Spain

Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at some critical rewiring. We study the robustness of these transitions under two distinct ways of introducing noise. Noise affecting all the nodes destroys the absorbing-fragmentation transition, giving rise in finite-size systems to two additional regimes: bimodal magnetisation and dynamic fragmentation. Noise Targeting a fraction of nodes preserves the transitions but introduces shattered fragmentation with its characteristic fraction of isolated nodes and one or two giant components. Both the lack of absorbing state for homogenous noise and the shift in the absorbing transition to higher rewiring for targeted noise are supported by analytical approximations.