Fig. 1: Emergent hypernetworks in an electrochemical network experiment.
a Experimental setup. b Schematic illustration of the electrochemical experiment with the nonlinear feedback. The blue, orange, yellow, and green lines represent the elements 1 to 4, respectively. The electrode potential signals (Ek) of the four (nearly) isolated electrodes are nonlinearly modulated and fed back with a delay τ to the corresponding circuit potential (Vk), which drives the metal dissolution. (The delay is implemented by storing the past data in the memory of the computer.) c Representation of the in a ring network topology used in the experiment. d Electrode potential time series. e Filtered and fitted (dark red line) instantaneous frequency using LASSO for hypernetwork reconstruction corresponding from top to bottom to oscillators 1 to 4, respectively. f Experimental recovery of the phase interactions given by a hypernetwork.
