Abstract - Networks of weakly coupled oscillators have significantly advanced our understanding of complex systems. Studies on model reconstruction have revealed that hypernetworks with triplet and higher-order interactions frequently arise, despite initial models assuming pairwise interactions. Prof. Pereira will demonstrate that hypernetworks can spontaneously emerge from pairwise nonlinear coupling under certain resonance conditions. as supported by experiments with electrochemical oscillators and simulations with integrate and fire neurons. Prof. Peireira's theory uncovers the mechanism behind emergent hypernetworks and shows that microscopic linear coupling leads to nonlinear mean fields, facilitating hypernetwork formation. These findings help explain the prevalence of hypernetworks and offer a method for predicting and engineering the emergence of hypernetworks.

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Bio - Prof. Tiago Pereira is a professor at the University of São Paulo. He received his Ph.D. in Applied Mathematics from the University of Postdam in 2007. Prof. Pereira works on the collective behavior of complex networks, the theory of dynamical systems, and random matrix theory. He leads the ReconNeCT Project at the University of São Paulo, where his group aims to reconstruct connectivity networks from data and predict sudden behavioral changes to develop strategies for preventing malfunctions.