Dynamic Analysis of Novel Memristor Chaotic Systems with Influence Factors

Based on a three-dimensional second-order continuous autonomous chaotic system with a golden equilibrium point [1], a fourth-order chaotic circuit system based on second-order nonlinear active magnetic memristor is proposed. In order to theoretically analyze the dynamic behavior of the chaotic system and simulate it digitally in a more intuitive way, methods such as phase portraits, Lyapunov exponent spectra, bifurcation diagrams, and Poincaré section diagrams are all means to achieve this purpose. After a series of operations, the results show that the new system not only has the characteristics of the original chaotic system but also exhibits many new chaotic properties. This system will receive attention in the fields of chaotic dynamics and chaotic secure communication.