2019/12/31 by Ana P. Millán, Joaquín J. Torres, Ginestra Bianconi · 8 citations
Computer Science · Physics and Astronomy · #cond-mat.dis-nn #cond-mat.stat-mech #cs.SI #nlin.AO #physics.bio-ph #physics.soc-ph
paper · pdf · doi:10.1103/physrevlett.124.218301
published as Phys. Rev. Lett. 124, 218301 (2020) · (5 pages, 3 figures) + SM (12 pages, 10 figures)
arxiv created 2020/05/18 · arxiv updated 2020/06/02
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.