Memristor-regulated multi-scrolls generation method in a cellular neural network

For unique performances, such as large key space and good unpredictability, multi-scroll systems have been widely applied in fields of secure communication and image encryption. In this paper, a cellular neural network under electromagnetic radiation (EMR-CNN) is built and can generate complex multi-scroll dynamics, in which a memristor with an inner piecewise linear function is employed to express the EMR effect. The generation mechanism of multi-scroll attractors is explored via equilibrium and stability analysis. Numerical results show that the number of scrolls is related to the position and number of index-2 equilibrium points. In the proposed EMR-CNN, the index-2 equilibrium points can be regulated by the inner piecewise linear function of the memristor. To demonstrate the regulatory effect, different attractors with odd/even numbers of scrolls are generated in the EMR-CNN. In addition, Multisim-based circuit simulations and FPGA-based circuit experiments are carried out to verify the numerical results.