“Laplacian Dynamics on Graphs with Time Delays” by Fatihcan M. Atay (Max Planck Institute )
Abstract: This talk will consider dynamics on finite networks that evolves under a discrete Laplace operator and in the presence of time delays. The spatial structure naturally invites notions from graph theory into the analysis of the dynamical behavior. We discuss the effects of structure and delays on the dynamics, for both undirected and directed graphs, as well as for discrete and distributed delays. We then extend the results to graphs with time-varying structures. Applications are indicated in the fields of the stability of traffic flow, synchronization of coupled systems, and consensus in distributed computing and social dynamics.
Date: Wednesday, September 09, 2015
Place: Mathematics Seminar Room, SA-141
All are most cordially invited.
Tea and biscuits: after the seminar