Stability Analysis of the Synchronous Solution in Arrays of Memristive Chua’s Circuits

This brief studies synchronization in an array of diffusively-coupled identical memristor Chua’s circuits (MCCs) with Dirichlet’s boundary conditions. We start from the description of MCCs in the flux-charge domain and the state space decomposition in invariant manifolds and then we apply three different techniques, of numerical and analytic nature, for finding the synchronization condition in terms of a circuit parameter. Two of these techniques provide conditions to guarantee synchronization on any manifold and for any attractor on a manifold, while a third technique allows analyzing synchronization for each specific attractor on a fixed manifold through more precise conditions. The pros and cons of the three techniques are discussed and an application to a more realistic memristor model is provided.