Explosiveness is not limited to spr

Explosiveness is not limited to spreading processes.Of paramount importance for biology and neuroscienceare systems of coupled oscillators, where the states ofthe nodes are d-dimensional continuous variables thatevolve over time under mutual influence (Fig. 2b). Themost well-known setup is probably the one introduced byYoshiki Kuramoto [49 ], in which unidimensional phaseoscillators are endowed with natural frequencies, andinteractions occur through sinusoidal couplings. Whengeneralized to account for structured higher-order inter-actions among oscillators, the additional non-linearitygenerates abrupt switches between synchronized and in-coherent states [50 ]. The emergence of bistability andthe appearance of hysteresis cycles are driven by the pres-ence of higher-order interactions alone, without the needfor ad-hoc coupling mechanisms between the dynamicalevolution and the local connectivity of the nodes.