Experimental datasets on intermittency in networks of electronic oscillators. Hybrid Configuration - Small-World (Watts-Strogatz)

For experimental validation, we developed a real-time hybrid implementation of a coupled oscillator network. The system consists of a network of $N=28$ oscillators, whose dynamics are governed by the Rössler-like system of equations. The procesing of all $N$ signal of the electronic oscillators for constructing and coupling the network were executed in real-time on a National Instruments CompactRIO (cRIO-9074) embedded control and acquisition platform. The cRIO platform was programmed to perform the real-time operations required to process the oscillator states and generate the corresponding coupling signals based on a predefined adjacency matrix, $A$. This flexible architecture allowed us to systematically investigate network topologies; in this case: Small-World (Watts-Strogatz). The "hybrid" nature of the implementation refers to the control of the global coupling parameter, $d$. This parameter was not set digitally but was controlled via an analog DC voltage provided by an external, automated power supply. This setup enabled precise and repeatable experimental sweeps of the coupling strength In general, the cRIO was configured to continuously acquire the analogic outputs of each $N$ oscillators, compute the synchronization coupling signal according to the Laplacian network topology $L$, and subsequently introduce in the $N$ oscillator the corresponding feedback signals to the system. The global coupling strength, $d$, was externally regulated via an analog voltage supplied by a GW-Instek GPD-2030S programmable power supply. This voltage was varied within the range of 0 V to 3.5 V. This range was empirically determined to be necessary to observe the complete route to synchronization, which was scanned in 701 discrete steps ($delta = 0.005$). Furthermore, to prevent signal saturation in the feedback loop, a scaling gain of $\psi = 0.1$ was applied to the coupling signal.