Construction and FPGA Simulation Verification of Non-degenerate Five-Dimensional Hyperchaotic System

In order to measure the relationship between the number of positive Lyapunov exponents and the degree of chaos in a better way, the concept of degeneracy is introduced in this paper. A new non-degenerate continuous time five -dimensional hyperchaotic system is constructed with the maximum number of positive Lyapunov exponents, which shows that the whole system has good chaotic properties. The system is implemented in an FPGA platform using Verilog programming language, which makes it easier to control the parameters and initial values of the system. In this paper, the top-down design concept is adopted to design and write the system functions, and the non-degenerate five-dimensional continuous time hyperchaotic system is simulated and verified in VIVADO FPGA hardware development platform. The simulation results are compared with the results obtained by MATLAB numerical simulation, and a method to solve the problem of data accuracy in the process of FPGA computing chaotic system is proposed. In order to provide a new implementation of hyperchaotic system based on FPGA.