A novel 6D four-wing memristive hyperchaotic system: Generalized fixed-time synchronization and its application insecure image encryption

Nonlinear dynamical systems have extensively been studied in the realm of cryptography, yet the use of high-dimensional memristive chaotic systems with fixed time synchronization for secure communications remains underexplored, ensuring large key space and strong resistance to security threats. In this paper, we present a novel 6D memristive hyperchaotic system by incorporating a flux-controlled memristor into a five- dimensional continuous chaotic system; surprisingly, it shows a four-wing attractor. The chaotic dynamics of the system are investigated by employing Lyapunov exponents, bifurcation diagrams, Poincar & eacute; maps, and sensitivity to initial conditions, which verify its hyperchaotic phase. Additionally, we realize generalized fixed- time synchronization of our system based on Lyapunov stability theory and the theory of fixed-time with a non-identical 6D hyperchaotic system. This approach derives synchronization techniques in higher-dimensional systems and shows their possible use for applications in cryptography. Furthermore, we proposed an effective image encryption algorithm using chaos theory and DNA computing, followed by a comparative performance analysis.