<p>In recent years, the generation of multi-scroll chaotic systems has emerged as a focal point in chaos research owing to their complex topological structures and enhanced capability for generating complex dynamical behaviors. Based on the classical Sprott-B system, this study introduces a nonvolatile memristor to generate even-numbered multi-scroll attractors with controllable attractor distributions and rich dynamical characteristics. The multidimensional expansion of multi-scroll attractors is attainable through the coupling of multiple memristors. The proposed memristor model contains only a single piecewise-linear function together with a hyperbolic tangent nonlinear term, resulting in a relatively concise nonlinear structure. Lyapunov exponent spectra, bifurcation diagrams, and attraction-basin distributions were employed to investigate the dynamical evolution characteristics of the proposed system. Meanwhile, the underlying mechanism for the production of the multi-scroll structure was elucidated. Additionally, digital circuit simulations of the proposed memristor and multi-scroll chaotic system were carried out using the Multisim platform and the phase diagrams of the four-dimensional and five-dimensional systems were constructed and presented using a DSP hardware platform. The simulation and implementation results demonstrate good agreement with the theoretical analysis, thereby verifying the hardware realizability and engineering feasibility of the proposed multi-scroll chaotic system. This work lays a foundation for further investigation and potential engineering applications, highlighting the considerable practical potential of the proposed system. Furthermore, an image encryption application based on the proposed five-dimensional memristive chaotic system was designed and analyzed, and the corresponding security analysis results demonstrate the potential applicability of the proposed system in secure information processing.</p>