Fig. 5: Extreme transitions in other systems.

a Systems of relaxation (Van der Pol) oscillators and (b) of phase-amplitude (Stuart-Landau) oscillators with Gaussian natural frequency distribution, both exhibit discontinuous transitions in finite systems with an order parameter close to its maximum immediately past the transition point. Exact governing equations, parameters, and a definition of phases entering the order parameter r in (1) are detailed in the Supplementary Information.