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Synchronisation of Oscillators with Group Interactions - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Explore the impact of group interactions on complex dynamical systems in this 36-minute conference talk presented by Maxime Lucas from CENTAI. Delve into the limitations of traditional network models and discover how incorporating group interactions can significantly affect system dynamics and transitions. Learn about recent advancements in the field, including the multiorder Laplacian, a generalization of the graph Laplacian that accounts for group interactions. Investigate whether group interactions universally enhance synchronization and examine how different representations, such as hypergraphs and simplicial complexes, influence dynamics. Gain insights into the application of these concepts in neuroscience and beyond, as part of IPAM's workshop on Reconstructing Network Dynamics from Data.

Syllabus

Maxime Lucas - Synchronisation of oscillators with group interactions - IPAM at UCLA

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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