M/511

The main topic of the talk are dynamical processes where the dynamics is occurring on a set of entities (nodes in a network) that are connected to each other via edges in some nontrivial way. This leads to a natural question of how such underlying nontrivial connectivity affects dynamical processes. We are in particular interested in the following question: if one is to disturb one or more nodes in order to disturb the dynamics of the whole network, which node(s) to choose? As our performance measure we use the concept of $H_\infty$ norm from control theory and analyse a class of networks where the dynamics of nodes are modeled by a 2nd order differential operator. We apply abstract results to the case of a wave equation on a metric graph. The talk is based on joint works with A. Bátkai, M. Kramar-Fijavž, I. Palunko, D. Tolić and Z. Tomljanović.

Ivica Nakic

University of Zagreb