More is less: Improving connectivity can lead to network failure

Jan Philipp Pade, Humboldt-Universität zu Berlin

We study synchronisation in directed networks of differential equations with interaction akin to diffusion. In many important applications the stability of synchronised states is vital for the functioning of the network. We show that, in contrast to undirected networks, the improvement of the coupling structure, for instance the introduction of a new edge, can lead to a network failure.


London Mathematical Laboratory, 14 Buckingham Street, London, WC2N 6DF

Date & Time

Thursday 20th March 2014 at 11.00hrs


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