Attractor Dynamics of 2-Lobe Discrete Corsage Memristor-Coupled Neuron Map

Chua corsage memristor (CCM) has been instrumental in constructing continuous oscillatory systems. However, locally active memristor with lobes has not yet been found in the discrete-time domain. To address this gap, this article introduces a 2-lobe discrete corsage memristor (DCM) model characterized by the nonvolatility, bistability, and odd-symmetric locally active region, as provided by the local activity principle. The edge-of-chaos regime is further identified through the Jacobi matrix approach. Moreover, a 2-lobe DCM-coupled neuron map (DNM) is developed and its attractor dynamics are numerically revealed. The DNM generates numerous symmetric periodic and chaotic attractors relying on the memristor intrinsic parameter, as well as offset-boosted coexisting attractors with mono-topology and hybrid-topology, controlled by the initial state of the memristor. Finally, an FPGA-based implementation platform is established for numerical simulation verification, and three pseudo-random numbers with compliant performance are acquired.