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

Biological Nonlinear Dynamics Data Science Unit
https://www.oist.jp/research/research-units/biological-nonlinear-dynamics-data-science-unit

The biological nonlinear dynamics data science unit investigates complex systems explicitly taking into account the role of time. We do this by instead of averaging occurrences using their statistics, we treat observations as frames of a movie and if patterns reoccur then we can use their behaviors in the past to predict their future.

#biology #complexity #nonlinear_dynamics #big_data #brain_activity #okinawa