Analysis And Application Of Dimensional Reduction Chaotic System Based On Memristor

Memristor,as the fourth electronic component,was predicted in 1971 and successfully manufactured by HP in 2008.Because the memristor is an electronic device with a nanometer scale and has the advantage of storing information without power supply,this determines that this device has potential application space in many frontier applications.Moreover,memristive circuits are easy to design and have complex nonlinear behavior.They also have huge application potential in the fields of computational storage,neural computing,etc.,so it is very meaningful to study nonlinear systems based on memristor.Memristors have created a new situation for studying chaotic systems.Memristor chaos refers to a chaotic circuit based on a memristor.Memristor chaos refers to a chaotic circuit based on a memristor,which uses the memristor as a nonlinear term in the circuit to cause chaos in the circuit.It is a meaningful work to discuss the characteristics and application of memristor chaotic circuit combining memristor and chaos.Studying memristive chaos can provide theoretical support for chaotic applications in the fields of secure communications,neuronal circuits,and financial sciences.This paper will design a memristive chaotic system based on the combination of memristive model and chaotic circuit,and make corresponding application according to the characteristics of memristive chaotic system The main contents and innovations of this article can be summarized as follows.Firstly,it analyzes the current development status of memristors and the research status of memristive chaos,and briefly analyzes and summarizes common memristive chaotic systems.Due to the introduction of memristors,memristive chaotic systems are of great benefit on the one hand to study the characteristics of memristors,and on the other hand,they also enrich the characteristics of chaotic systems.In order to obtain more complex nonlinear characteristics,a method of constructing a Wein-bridge chaotic circuit based on dual memristors is proposed.Introduce two memristor models in the Wein-bridge circuit and replace the linear devices in the original circuit with the memristor model.The obtained Wein-bridge chaotic circuit system based on dual memristors has the characteristics of chaotic attractor and coexistence bifurcation.The software and hardware experiments are used to verify the dynamic characteristics of the system to ensure the correctness of the theory.In order to study the changes of the characteristics of the memristive chaotic system after dimensionality reduction,a four-dimensional memristive chaotic system is proposed.After judging whether the system has chaotic characteristics,dimensionality reduction is performed to obtain the corresponding dimensionality reduction system,whether the dimensionality reduction system has chaotic characteristics,and the two systems are compared and analyzed.It is found that the dimensionality-reduced 3D system has richer dynamic characteristics within a certain range of parameters.Apicture encryption software based on Matlab software platform is designed.The software obtains the pictures to be encrypted by selecting existing pictures and take a photo immediately,and encrypts and decrypts the pictures according to the encryption algorithm.The encryption algorithm of the software is based on the over-sensitivity of the memristive chaotic system to the initial state,which ensures the security of encryption and decryption.A chaotic signal generator is designed based on FPGA(Field Programmable Gate Array)technology.The chaotic signal is generated by the memristive chaotic system,the discretized dimensionality-reducing memristive chaotic system is used to generate MDL files by DSP builder,and Quartus Ⅱ is used to convert the MDL files into VHDL language for analysis,synthesis and compilation.Finally,the effect of the chaotic signal generator is demonstrated through the FPGA development board.