From Undirected to Directed Networks of Dynamical Agents - Robin Delabays

Explore the intricacies of directed networks in dynamical systems through this 51-minute lecture by Robin Delabays from UC Santa Barbara. Delve into the complexities of commodity distribution across networks, examining the asymmetric interactions between agents in systems such as power grids, brain networks, and social networks. Discover the key differences between undirected and directed network models, and uncover both expected and surprising consequences of directedness in diffusive interactions. Gain insights into power flows, voltage angles, and flow conservation, with practical examples from Europe and Switzerland. Investigate linear stability analysis, coupled oscillators, cycle basis, and network partitioning techniques. Enhance your understanding of complex systems and network dynamics through this comprehensive exploration of directed networks.