IFISC Seminar on Wednesday Feb 09, 2022 at 12:00 Place: Zoom Seminar Title: Higher-Order Kuramoto dynamics on Simplicial Complexes Speaker: Joaquin J. Torres, Universidad de Granada Abstract: <p> </p> <p>In this talk I report some of our recent findings concerning the emergence of synchronization transition in higher-order Kuramoto dynamics on simplicial complexes. The higher-order interactions of complex systems, such as the brain, are captured by their simplicial complex structure and have a significant effect on dynamics. Most of the existing dynamical models defined on simplicial complexes make the strong assumption that the dynamics resides exclusively on the nodes, which is a strong simplification. Here we formulate the higher-order Kuramoto model which describes the interactions between oscillators placed not only on nodes but also on links, triangles, and so on. We explore conditions in which higher-order Kuramoto dynamics can lead to an explosive synchronization transition which is achieved using an adaptive coupling dependent on the solenoidal and the irrotational component of the dynamics.<br /> <br /> <span style="color:#c0392b"><strong>[PLEASE NOTE THE UNUSUAL START TIME 12:00]</strong></span></p> <p><br /> <br /> <br /> <br /> <a href="https://us02web.zoom.us/j/83829318876?pwd=Z2pqbUtIMEV3NUQvU0hpakp0NGtsUT09">https://us02web.zoom.us/j/83829318876?pwd=Z2pqbUtIMEV3NUQvU0hpakp0NGtsUT09</a></p>; Url event:https://ifisc.uib-csic.es/en/events/seminars/higher-order-kuramoto-dynamics-...