Analysis and FPGA implementation of a novel super-wide range hyperchaotic system

The hyperchaotic system has more complex dynamic characteristics than the chaotic system. However, most hyperchaotic systems currently have a small parameter range and provide a small key space, and the system easily jumps out of the chaotic state when the system parameters change. Aiming at this problem, a novel super-wide range hyperchaotic system is proposed in this paper. The system is hyperchaotic when the parameter c is1, 10⁷. The basic dynamics behaviors of the novel system are analyzed theoretically, including system phase diagrams, equilibrium points, Lyapunov exponent spectrums and bifurcation diagrams. In this paper, the chaotic system is implemented by FPGA, and the x-z phase trajectories captured on the oscilloscope are given when the system parameters c are 5, 100, 1000 and 10⁵ respectively, verified the FPGA achievability of the super-wide range hyperchaotic system.