Minisymposium: Dynamics of Higher-order Interaction Networks: Theory and Applications
Abstract
Collective dynamics of interacting units is prevalent in nature and engineering. Examples include neurons in the brain or opinion building in social networks. Recently, there has been significant interest in simultaneous interactions between three or more units, so-called higher-order interactions. On the one hand, such interactions provide natural generalizations of dynamics on graphs. On the other hand, they also arise indirectly, for example, as phase interactions in oscillatory dynamics. The structure of higher-order interaction networks, or hypernetworks, are typically captured by hypergraphs. Hence, it is critical to understand how the structural network properties affect the dynamics and the implications for applications. This minisymposium will feature recent advances on higher-order interaction networks from a theoretical and applied point of view. The first part of the minisymposium will focus on higher-order interactions in networks of coupled oscillators. The second part of the minisymposium will focus on more general models and results, ranging from chemical reaction networks to general dynamics on simplicial complexes.
Organizer:
- Bob Rink, Vrije Universiteit Amsterdam, The Netherlands
- Christian Bick, Vrije Universiteit Amsterdam, The Netherlands
- Eddie Nijholt, Imperial College London, United Kingdom
- Sören von der Gracht, Universität Paderborn, Germany
Talks:
1:30-1:55 Phase Reduction for Delay-Coupled Oscillators, Babette de Wolff
2:00-2:25 Self-Consistent Approach to Synchronization on Hypergraphs, Juan G. Restrepo
2:30-2:55 Hypernetworks with Electrochemical Oscillators, Istvan Kiss
3:00-3:25 Reconstructing Networks and Hypernetworks of Coupled Oscillators from Time Series, Bengi Dönmez
5:00-5:25 Insights from Exact Social Contagion Dynamics on Networks with Higher-Order Structures, István Z. Kiss
5:30-5:55 Opinion disparity in hypergraphs with community structure: theory and practice, Nicholas Landry
6:00-6:25 Controllability and Observability of Hypergraph Dynamics, Anthony M. Bloch
6:30-6:55 Sync with Higher-Order Interactions: Effects on Basins and Linear Stability, Maxime Lucas
Sören von der Gracht
PostDoc in Dynamical Systems
Research in network dynamical systems and its applications.