Edge of Chaos Behind Bistability of the Inhomogeneous in Homogeneous Cellular Media

Leveraging the negative differential resistance of a NbOx volatile threshold switch, manufactured at NaMLab, we recently presented the simplest ever-reported physical system, undergoing the same counterintuitive silence-to-regular beating transition, which Smale observed in a higher-order biological reaction-diffusion network back in 1974. This paper gains a deeper insight into the nonlinear dynamics of the proposed memristor cellular neural network, revealing how the destabilization of the homogeneous solution, possible if and only if each of the identical cells is poised on the Edge of Chaos when let decoupled from the other ones, results in the bistability of the inhomogeneous.