Design And FPGA Implementation Of Five-Dimensional Hyperchaotic System Based On Memristor

Chaos is a very important branch in the field of nonlinear dynamics.The characteristics of initial sensitivity,inherent randomness and unpredictability of chaos make chaotic systems have potential applications in various fields of social life.In recent years,hyperchaotic systems have attracted wide attention among from researchers all over the world.Compared with chaotic systems,high-dimensional hyperchaotic systems with more positive Lyapunov exponents have more complex dynamics and have wider application prospects.The Memristor has the advantages of strong nonlinearity,high speed,low power consumption and scalability.The introduction of memristors into chaotic systems is conducive to the construction of highdimensional hyperchaotic systems,and the hyperchaotic signals generated by these systems have important application value in the field of information security.This paper will use memristor to construct a high-dimensional hyperchaotic system,and analyze the system characteristics,application and hardware implementation.The specific research contents of this paper are as follows:(1)A variable wing five dimensional memristor hyperchaotic system with three positive Lyapunov exponents and a line equilibrium point is constructed by using flux-control memristor.The system is analyzed in detail by using the dynamic analysis tools such as phase portrait,Lyapunov exponent spectrum,bifurcation diagram and spectral entropy complexity.The new system can produce four wing and two wing attractors under different parameters,and has three positive Lyapunov exponents under specific parameters.Finally,the five-dimensional memristor hyperchaotic system is realized by FPGA,and the display result on the oscilloscope is consistent with the phase diagram obtained by MATLAB simulation,thus verifying the correctness of the design.(2)A five-dimensional memristor hyperchaotic system with coexisting multiple attractors is proposed.The new system has two kinds of coexisting attractors,chaos,hyperchaotic,period and limit cycle under different parameters.Given several sets of different initial conditions and parameters,the system can produce two types of phenomena:the coexistence of the same type of attractors and the coexistence of different types of attractors.For a specific set of parameters,an unusual metastable is found,which shows the transition from chaos to periodic(period-2 and period-3)dynamics.Finally,a five-dimensional memristor hyperchaotic system is implemented by FPGA.The results on the oscilloscope are consistent with the phase portrait obtained by MATLAB simulation,which verifies the correctness of the system.(3)The five-dimensional memristor hyperchaotic system designed in this paper is combined with a chaotic system of the same dimension to realize the synchronization of different structures based on active control.Then,the synchronization signal generated by the synchronization system is used to encrypt and decrypt the information signal,so as to realize the application of secure communication.Finally,the active control synchronization and chaos secure communication design are realized by MATLAB and FPGA.The software and hardware simulation results are consistent,which proves the feasibility of using the new system designed in this paper to achieve synchronization and secure communication.