This three-year $249,981 project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research into synchronization in networks with higher order interactions at the University of Colorado Boulder. Specifically, the principal investigator will develop a theoretical framework to study synchronization of oscillators in hypergraphs, which are a generalization of networks that allow interactions between more than two units. While group interactions are known to modify synchronization dynamics in some simple hypergraph structures, the full effect of hypergraph structure on synchronization is not well understood. This work aims to fill that gap by developing a comprehensive framework accounting for different hypergraph structures, oscillator interaction types, and correlations between them. In addition to advancing fundamental understanding of synchronization processes, the research could facilitate prediction and control of synchronization patterns with potential benefits across various scientific and engineering disciplines. The award also provides funding to train a graduate student in modeling complex dynamical systems and disseminate results through publications, conferences, and an undergraduate/graduate course on dynamics on networks.
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