Dynamics analysis, FPGA realization and image encryption application of a 5D memristive exponential hyperchaotic system

The exponential function is one of the basic elementary functions, which plays an irreplaceable role in mathematics and is also widely used in practical activities such as life and production. In this paper, a new 5D memristive exponential hyperchaotic system (MEHS) is proposed, which includes an exponential term and a nonlinear flux-controlled memristive model. Fundamental dynamics characteristics of the system are analyzed using phase diagram, Lyapunov exponential spectrum and bifurcation diagram. When appropriate parameter sets are selected, the MEHS exhibits a rich set of dynamic behaviors, including the coexistence of periodic and periodic attractors, periodic and chaotic attractors, chaotic and hyperchaotic attractors. In addition, the Field Programmable Gate Array (FPGA) is used to realize the 5D MEHS, and the experimental results are consistent with the numerical simulation results on MATLAB. Finally, an image encryption application based on the 5D MEHS is presented. The security analysis shows the feasibility and effectiveness of the image encryption algorithm.