Lorenz-Like Circuit System Design And Hyperchaotic Image Encryption Application

Since the discovery of chaotic systems in the nonlinear domain,their unique characteristics have caused researchers to investigate chaos science related to them in depth.The generation of new chaotic systems provides more ideas for the development of chaos theory,and the in-depth study of chaos theory will greatly broaden its application value.In response to the extremely strong sensitivity of chaotic dynamic motion characteristics,the function of chaos regarding the fault diagnosis of electromechanical equipment and the completion of personal privacy protection at the site of intelligent power operations is realized.In this thesis,we studied new three-dimensional and four-dimensional systems with chaotic and hyperchaotic dynamic motion characteristics and their control applications.The main relevant work carried out in the thesis is as follows.On the basis of the new Lorenz-Like system with chaotic dynamic motion characteristics,a new three-dimensional Lorenz-like system was created and its dynamic motion feature was specifically analyzed.To explore the feature of the chaotic dynamic motion,it is found that the system exhibits distinct phase diagrams with different parameters,and the structure of the system with different single-scroll and double-scrolls attractors,and the number of scrolls of the attractors is significantly increased by the Poncelet cross-sectional diagram.The system equations of the chaotic system are used to build a system circuit with simple electronic components,and the correctness of the established chaotic system is confirmed through Multisim simulation of the built circuit.The correctness of this approach is confirmed by both theoretical analysis and experimental simulations.Based on the new Lorenz-Like three-dimensional system structure,a new four-dimensional system model is obtained by adding a first-order linear feedback controller.Based on the known method of theoretical analysis of chaotic systems,the four-dimensional system is calculated to contain two positive Lyapunov exponents,which confirms the hyperchaotic property of the new four-dimensional system.This thesis is based on a new four-dimensional system with hyperchaotic dynamic motion characteristics to achieve the corresponding synchronization aspects of the application.The corresponding adaptive synchronizer is built based on a new four-dimensional system with hyperchaotic dynamic motion characteristics,and the correctness of adaptive control of the four-dimensional hyperchaotic-based system is confirmed from both experimental and simulation aspects.The dynamic motion of the sequences contained in the newly constructed four-dimensional system is distinct,and its dynamic behavior is difficult to predict,and the dynamic stochastic behavior is better.Based on the new two-dimensional discrete system,four-dimensional hyperchaotic system and DNA coding operation,we have implemented the encryption and decryption functions of human face pictures,demonstrated the value of the new systems in confidential communication,and confirmed the practicality of the encryption and decryption algorithms set up through experiments.We test the results of the new hyperchaotic system applied to this encryption based on the implementation of image encryption.The practicality of chaos and DNA coding operations applied in image encryption is verified by examining the security characteristics before and after encryption of the images to be encrypted,respectively.Figure[51]Table[9]Reference[77]...