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Paper detail

Explosive 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. 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.

preprint2020arXivOpen access
Ana P. MillánJoaquín J. TorresGinestra Bianconi
cond-mat.stat-mechSocial and Information Networksphysics.soc-phBiological Physicsnlin.AOcond-mat.dis-nn
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Ana P. MillánJoaquín J. TorresGinestra Bianconi

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