Networks and Heterogeneous Media: latest papers Latest articles for selected journal Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators Seung-Yeal Ha, Jaeseung Lee and Zhuchun Li Wed, 1 Mar 2017 08:00:00 GMT Global-in-time solution and stability of Kuramoto-Sakaguchi equation under non-local Coupling Hirotada Honda Wed, 1 Mar 2017 08:00:00 GMT Modelling heterogeneity and an open-mindedness social norm in opinion dynamics heterogeneous interactions in a time-continuous bounded confidence model for opinion formation. The key new modelling aspects are to distinguish between open-minded and closed-minded behaviour and to include an open-mindedness social norm. The investigations focus on the equilibria supported by the proposed new model; particular attention is given to a novel class of equilibria consisting of multiple connected opinion clusters, which does not occur in the absence of heterogeneity. Various rigorous stability results concerning these equilibria are established. We also incorporate the effect of media in the model and study its implications for opinion formation. ]]> Clinton Innes, Razvan C. Fetecau and Ralf W. Wittenberg Wed, 1 Mar 2017 08:00:00 GMT A discrete Hughes model for pedestrian flow on graphs Fabio Camilli, Adriano Festa and Silvia Tozza Wed, 1 Mar 2017 08:00:00 GMT A mathematical framework for delay analysis in single source networks Samitha Samaranayake, Axel Parmentier, Ethan Xuan and Alexandre Bayen Wed, 1 Mar 2017 08:00:00 GMT An improved homogenization result for immiscible compressible two--phase flow in porous media Brahim Amaziane, Leonid Pankratov and Andrey Piatnitski Wed, 1 Mar 2017 08:00:00 GMT