Local Form of Turing Instability in a Two-Cell Array Based on Chua Corsage Memristors on Edge of Chaos

The symmetry-breaking phenomenon, appearing, under suitable conditions, when identical reaction cells, quiet on their own, are let interact via diffusion processes, is dubbed Turing Instability. Its local form exposes the local destabilization, which allows two multistable cells lose stability at one of its locally asymptotically-stable operating points. In the talk, we will present a local form of Turing Instability in a two-cell array, when one of the possible locally asymptotically-stable and locally-active static solutions loses stability, when let interact with an identical reaction cell via diffusion processes, resulting in the emergence of two different static solutions after transients fade away. Theoretical analysis, simulation and hardware demonstration will be presented. Both numerical and experimental results confirm the correctness of the theoretical analysis.