Construction, analysis, and circuit implementation of a memristive grid-multi-wing chaotic system based on a novel memristor with a single multi-section internal function

The memristor, due to its nonlinear characteristics and unique memory function, is often used to construct memristive chaotic systems with distinct dynamic behaviors. This paper presents a novel multi-piecewise memristor, which is coupled with the modified Sprott C system (MSCS) to construct a memristive grid multi-wing chaotic system (MGMWCS). By coupling different numbers of memristors, one-dimensional, two-dimensional, and three-dimensional memristive grid multi-wing chaotic attractors (MGMWCAs) can be generated. It is worth noting that the memristor proposed in this paper contains only a single internal piecewise function and a state variable. By adjusting the segmentation parameters of the piecewise function, multiple memristive grid chaotic attractors can be generated. First, the nonlinear characteristics and non-volatility of the memristor were verified using hysteresis loops and Power-Off plot (POP). Subsequently, a comprehensive analysis of MGMWCS was conducted using phase diagrams, bifurcation diagrams, and Lyapunov exponent plots, revealing the complex dynamical behaviors of the chaotic system. In addition, we performed digital circuit simulation of the memristor and MGMWCS using Multisim. The hysteresis loop of the memristor and the phase diagram of MGMWCS were displayed on an oscilloscope, verifying the physical implementability of MGMWCS. Finally, the phase diagram of 1D-MGMWCAs, 2D-MGMWCAs and 3D-MGMWCAs were plotted using the DSP hardware platform, highlighting the excellent application potential of MGMWCS.