A 5D memristor-based conservative chaotic system with wide-range and image encryption application

Abstract This paper proposes a new five-dimensional memristive conservative chaotic system (5D MCCS) by introducing a flux-controlled memristor into a conservative chaotic system. Dynamic characteristics of the 5D MCCS are validated through spectral entropy(SE), bifurcation diagrams, Lyapunov exponents (LEs), and Poincaré mappings. Compared with other conservative chaotic systems, the 5D MCCS contains only three nonlinear terms yet can generate complex dynamic characteristics. Additionally, under fixed initial values, parameter variations lead the 5D MCCS to switch between chaotic states and quasi-periodic states. The 5D MCCS exhibits chaotic states over wide parameter and initial value range. Afterwards, the 5D MCCS is realized on Field Programmable Gate Array (FPGA) platform. Finally, the pseudorandom sequences generated by the 5D MCCS have been certified through the National Institute of Standards and Technology (NIST) and are utilized for image encryption.