Synchronisation phenomena in RC oscillators coupled by one nonlinear negative resistor

There have been many investigations on mutual synchronization of oscillators. We analyze the van der Pol type LC oscillators coupled by one resistor, and confirm that this system can take a large number of steady states, ideal for the realization of memory or CNN applications. However, as this system includes inductors, it is not suitable for VLSI implementation. In this paper, we investigate the synchronization phenomena in RC oscillators coupled by one negative resistor using both computer calculations and circuit experiment. In this system, we achieve 2-phase oscillations without using an inductor. So it is available to VLSI implementation and the phase state of this system is binary. It is more suitable for the structural elements of cellular neural networks.