“Global robustness and local vulnerabilities in complex, network-coupled dynamical systems”

04.06.2018 13:00 – 14:30

Séminaire informel DQMP
Séminaire dans le cadre de la nomination de Monsieur Philippe Jacquod aux fonctions de professeur Titulaire
“Global robustness and local vulnerabilities in complex, network-coupled dynamical systems”
In network theory, two issues of central importance are
-how to assess the global robustness of a network-coupled system,
-how to identify its local vulnerabilities.
The second issue is related to the historical and fundamental problem of identifying the key player. That may be for instance the player who, once removed, leads to the biggest changes in the other player’s activity in game theory, or to the biggest structural change in a social network. That problem has been tackled with the introduction of graph-theoretic descriptors, in particular centrality indices. Additionally, centralities averaged over the whole system provide a global indicator of how tightly bound a network is, which helps in dealing with the first issue.
The purely graph theoretic, centrality-based approach cannot be straightforwardly applied to deterministic network-coupled dynamical systems. Assessing such a network’s global robustness and identifying its most critical components must go beyond computing graph centralities and needs to incorporate the coupling dynamics into account. In my talk I will discuss methods recently developed to deal with these two issues in physical network-coupled dynamical systems. The talk will survey a number of already obtained results and present a tentative discussion of future challenges.

Lieu

Bâtiment: Ecole de Physique

auditoire Stuckelberg

entrée libre