Design Of Two Chaotic Systems And Its Application In Image Encryption

As a special branch of nonlinear science,chaos has been widely concerned and applied in the fields of electronics,signal processing,secure communication,neural networks and finance due to its rich dynamic characteristics.As the main object of research,hyperchaotic systems and systems with hidden attractors are of great theoretical.At the same time,aerial images of aerial lines inspected by UAV and face information of substation construction site should be safely managed.Aiming at such problems,the function of data protection at the site of intelligent power is realized by combing chaotic system and image encryption.Therefore,this paper constructs and analyzes two kinds of chaotic systems using the method of numerical simulation and theoretical analysis,and designs the image encryption algorithm based on chaos.The specific work is as follows:(1)Based on the three-dimensional system,a four-dimensional chaotic system with line equilibrium is proposed.The equilibrium point and stability of the system are analyzed,the dissipation and Lyapunov dimension are calculated,and the phase trajectory diagram,Lyapunov exponential spectrum,Poincare map and bifurcation diagram are used to study the dynamic characteristics of the system.The influence of parameter value on chaotic system is discussed.According to the mathematical model of the system,the circuit model is built on the simulation software Multisim.The simulation diagram is consistent with the numerical simulation diagram which indicates the effectiveness of the system.(2)Research on the design of the fifth order system without equilibrium point based on fourth-order dimensional chaotic system.The chaotic system with line equilibrium is proposed based on original fourth-order chaotic system,and the basic dynamic characteristics of the system are analyzed.A cubic nonlinear magnetic-controlled memristor is designed and the related characteristic of the memristor is also analyzed.A new fifth order chaotic system is obtained by combining the proposed chaotic system with memristor.Fifth-order system is a hyperchaotic system with two positive Lyapunov exponents according to the results of chaos theory and numerical study,exhibiting the coexisting hidden attractors and multistability.(3)An image encryption algorithm based on double chaotic system is designed.The NIST-800-22 test scheme is used to detect the randomness of the chaotic system.The overall design of the algorithm is carried out in the framework of scrambling and diffusion.Chaotic sequence generated by the fourth-order chaotic system is used for scrambling,and the sequence of the non-equilibrium system is used for diffusion.With the change of the parameters of the new six-wing chaotic system,the coexisting chaotic attractor,limit cycle,single-coil attractor and double-coil attractor are generated.The displacement control of the attractor of the chaotic system is realized by controlling the single system parameter.Hyperchaotic system with non-equilibrium based on memristor is sensitive to parameters and can generate different types of coexisting hidden attractors.When the motion trajectory of the system starts from different initial values,different shapes of attractors are formed,which indicates that the system has multi-stability.Based on the complex dynamic behavior of the system,the algorithm in this paper has the ability to resist cropping attack and differential attack,indicating that it will realize the information security management of aerial images and face images in the electric power field.Figure 51 Table 11 Reference 74...