Dynamic Model Of Dual Flux-Controlled Memristor And Realization Of FPGA Hardward Circuit

As a kind of excellent nonlinear device,memristor is easy to generate chaotic oscillation.The chaotic signal generated by memristor has strong internal randomness and wideband power spectrum,which can play an important role in information security field.At present,most researchers use discrete components to build traditional analog circuits to implement memristive chaotic systems,but the analog circuits are susceptible to the external environment,and the memristive chaotic system is extremely sensitive to circuit parameters and initial state.Moreover,the hardware circuit has weak stability,and isn't conducive to embedded equipment for engineering applications as the large volume of the circuit.Field Programmable Logic Gate Array(FPGA)has the advantages of high integration,large capacity,high reliability,and is widely used in modern digital signal processing.The realization of memristive chaotic circuit based on FPGA technology hardware can effectively utilize the advantages of both,which is beneficial to the application and promotion of memristor in engineering.The main work of this paper is to design two flux-controlled memristors,which are used to construct a five-dimensional memristive chaotic circuit,and the nonlinear characteristics of the circuit are numerically analyzed.Finally,the circuit system is realized based on FPGA technology hardware.The specific research contents are as follows:(1)Two models of flux-controlled memristors are constructed and their memristive characteristics are verified by simulation.Based on the classical Chua's chaotic circuit,a 5-Dimentional memristive chaotic circuit system containing two flux-controlled is designed.The nonlinear characteristics of the circuit are analyzed numerically showing that it has rich chaotic dynamical behavior.The method of bifurcation diagram and Lyapunov exponential spectrum is used to study the dependence of the circuit on the parameters.The results show that the dynamic behavior of the system is obviously different under different circuit parameters,and its orbit goes through the limit cycle,quasi-periodic and hyperchaotic states.The memristive chaotic circuit is built based on the Multisim circuit simulation software,which verified the the results of the numerical simulation at the hardware level.The results of the circuit simulation are basically consistent with the results of the numerical simulation of the Matlab software.(2)The novel memristive continuous system is transformed into digital system by means of the first-order discrete processing.Based on the MATLAB/ Simulink platform,the digital circuit of the memristive chaotic system is developed by using the DSP Builder library,and the electrical rule check and logic verification are carried out.(3)Based on FPGA technology,a hardware platform built by Cyclone ? E series EP4CE10F17C8 N chip,realize the digital system of the model.The design results indicate that the digital memristive system avoids the drift and instability of analog components,the display performance of the hardware waveform is stable and reliable,which is consistent with the computer simulation results.The design scheme is flexible and universal,and has the value and prospect of practical application.In conclusion,the research results of this paper provide a new development direction for the traditional chaotic circuit design,and promote the application of memristor in engineering.It has certain reference value and significance for information security and electronic and circuit fields.