CAMILLE POIGNARD - UNIVERSITY OF SãO PAULO - SOME RESULTS ON THE EFFECTS OF STRUCTURAL PERTURBATIONS ON THE DYNAMICS OF NETWORKS
In this talk, Dr Poignard will present some results obtained on the effects of structural perturbations on the global dynamics of networks, in terms of their synchronisation and their chaotic behaviour. These topics are of interest in the context of power grids, where people want to prevent from having blackouts, as well as for neural networks, where synchronisation is responsible for many diseases, such as Parkinson.
In the central part of the talk, he will present some classification results obtained (joint work with Tiago Pereira from the University of Sao Paulo and Jan Philipp Pade from the Humboldt University of Berlin) on the effects of adding links on the synchronizability of diffusively coupled networks. Namely, these results, which based on spectral properties for Laplacian matrices, permit to know partially which links should be added to increase the synchronizability and which links, if added, decrease it. At the end of the talk, he will briefly explain how adding links in other types of networks (namely in gene regulatory networks) can lead to a chaotic behaviour characterized by a positive entropy.
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