A Two-Memristor-based Chaotic System with Symmetric Bifurcation and Multistability

n this work, the study of an innovative chaotic system made from two memristors with symmetric bifurcation andmultistability is presented. Within a four-dimensional chaotic framework, the system is architected with two flux-controlled memristors.Computational simulations reveal intricate dynamical phenomena such as symmetric bifurcations, multistability, and very large sensitivityto initial conditions. Using Lyapunov exponents, bifurcation diagrams, and phase portraits we investigate the system’s ability to producechaotic attractors of pronounced multistability. Pinched hysteresis loop and system offset investigation at different frequencies areinvestigated for possible applications in neuromorphic computing, random number generation, and secure communication protocols. Wefurther advance our understanding of the complex dynamical properties of memristive chaotic systems. A representative analog circuitcorroborates their numerical findings.