Explosive Higher-Order Kuramoto Dynamics on Simplicial Complexes Torres Agudo, Joaquín Millán Vidal, Ana Paula Bianconi, Ginestra 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. However, the existing dynamical models defined on simplicial complexes make the strong assumption that the dynamics resides exclusively on the nodes. 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 show that higher-order Kuramoto dynamics can lead to an explosive synchronization transition by using an adaptive coupling dependent on the solenoidal and the irrotational component of the dynamics. 2021-10-04T10:36:04Z 2021-10-04T10:36:04Z 2020-05 info:eu-repo/semantics/article Millán, AP; Torres, JJ; Bianconi. Explosive Higher-Order Kuramoto Dynamics on Simplicial Complexes. G Phys. Rev. Lett. 124, 218301 http://hdl.handle.net/10481/70615 10.1103/PhysRevLett.124.218301 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España