@misc{10481/70615,
year = {2020},
month = {5},
url = {http://hdl.handle.net/10481/70615},
abstract = {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.},
organization = {This work is partially supported by SUPERSTRIPES Onlus. This research utilized Queen Mary's Apocrita HPC facility supported by QMUL Research-IT. G. B. thanks Ruben Sanchez-Garcia for interesting discussions and for sharing his code to evaluate the high-order Laplacian. A. P. M. and J. J. T. acknowledge financial support from the Spanish Ministry of Science and Technology, and the Agencia Estatal de Investigacion under Grant No. FIS2017-84256-P (European Regional Development Funds).},
title = {Explosive Higher-Order Kuramoto Dynamics on Simplicial Complexes},
doi = {10.1103/PhysRevLett.124.218301},
author = {Torres Agudo, Joaquín and Millán Vidal, Ana Paula and Bianconi, Ginestra},
}