MoN11: Eleventh Mathematics of Networks meeting, 20th July University of Warwick

Tiago Pereira (Imperial College) – Hub synchronization in heterogeneous networks

In most realistic networked systems where synchronization is relevant, synchronization may also be related to pathological activities such as epileptic seizures and strong Parkinson disease in neural networks, to extinction in ecology. In fact, various levels of synchronization are needed to avoid pathological activities and enable a system to have flexibility and robustness. Recently, it has been observed the synchronization may arise between well-connected nodes (hubs) while less connected nodes do not synchronize. We discuss a probabilistic approach towards the explanation of this phenomenon in the limit of networks of infinite size.

This is joint work with Jeroen Lamb (Imperial College)

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Contact: Keith Briggs (mailto:keith.briggs_at_bt_dot_com) or Richard G. Clegg (