A generic voltage-controlled discrete memristor model and its application in chaotic map

Abstract

The discrete memristor has aroused increasing interest due to its application prospects. The theory of discrete memory resistors is gradually being refined. In this paper, the generic voltage-controlled discrete memristor model is derived from another perspective - the circuit perspective. And the Simulink model of the discrete memristor model was constructed to implement the simulation. To explore the adaptability of the model, nine discrete memristors are proposed and shown to meet the definition of the memristor. As an application, this paper proposes three discrete memristor-based maps, builds their Simulink model, and analyzes their dynamic behavior relying on the parameters and initials of the system and memristor through the bifurcation diagram, Lyapunov exponent (LE), and spectral entropy complexity. The numerical simulation results show that the three discrete memristor-based maps are better than the original ones in chaotic properties, such as sequence complexity, chaos range, and LE.