Emergent Hypernetworks in Weakly Coupled Oscillators - IPAM at UCLA

Explore a 43-minute lecture on emergent hypernetworks in weakly coupled oscillators presented by Deniz Eroglu from Kadir Has University at IPAM's workshop on Reconstructing Network Dynamics from Data. Delve into the surprising emergence of hypernetworks with triplet and higher interactions in oscillator systems originally defined with pairwise interactions. Examine experimental results from electrochemical oscillators and simulations with integrate-and-fire neurons. Uncover the mechanism behind emergent hypernetworks through a comprehensive theory identifying frequency resonant conditions. Discover how microscopic linear coupling among units leads to nonlinear coupled mean fields facilitating hypernetwork formation. Gain insights into the prevalence of hypernetworks and learn methods to predict and engineer their emergence in various systems.