An interesting result on synchronization of nonlinear systems (Strogatz et al.):

Expander graphs are globally synchronising
https://arxiv.org/abs/2210.12788

[..] In this paper, we show that a graph with sufficient expansion must be globally synchronising, meaning that the Kuramoto model on such a graph will converge to the fully synchronised state with all the oscillators with same phase, for every initial state up to a set of measure zero.

#complexity #nonlinear_dynamics #strogatz #combinatorics #kuramoto_model #oscillators