Integrated circuit design of a discrete memristive chaotic system optimized by the fixed-point specific processor with acceleration instructions

Currently, design and application of discrete memristor aroused much interests. In this paper, digital integrated circuits of discrete memristive systems are designed based on the proposed fixed-point specific processor with acceleration instructions. The discrete memristor and the discrete memristive chaotic map are designed based on the trigonometric function including the Sine function and the Cosh function. It shows that the chaotic system has rich dynamics and can generate hyperchaos. To design a universal digital integrated circuit implementation method, a fixed-point specific processor is designed which is programmable. As a result, the chip layout of the memristive systems is obtained. Numerical simulations are completed in accordance with the Matlab simuation results. Compared with the ASIC(Application-Specific Integrated Circuit) based method, the digital circuit in this paper is two times larger in area and has 50% more power consumption due to the trigonometric and hyperbolic functions, but it can be reprogrammed to implement different models. It provides a new technical scheme for the application of discrete memristors in different engineering application fields.