Dynamic Characteristics Analysis And Synchronous Control Of Memristive Chaotic Systems

The proposed memristor provides a new direction for the research of cellular neural network(CNN).The CNN system can realize complex chaotic dynamics.As a non-linear resistor,the memristor has special memory ability,so the memristor can be used to construct the memristive CNN system to improve the chaotic characteristics of the CNN system.In this paper,the following researches are made on memristor and CNN from two aspects of physical realizability and improving system chaotic degree:Generally,devices with smooth continuous characteristics have better physical realizability.Therefore,a model of memristor with smooth continuous characteristic curve is designed in this paper.A four-dimensional memristive CNN chaotic system is constructed by combining the designed memristor model with the cellular neural network.By analyzing the phase trajectory diagram,bifurcation diagram,Lyapunov exponential spectrum,Lyapunov dimension and multistable characteristics,the complex dynamic characteristics are proved,therefore,the four-dimensional memristive CNN chaotic system is applied to secure communication.The sliding mode control method can be used to solve the problem of uncertainty in nonlinear systems.Considering that the system may have uncertain disturbances,the sliding mode control method is used to realize the synchronization of chaotic system.In order to improve the synchronization performance of chaotic system,a new sliding mode surface is designed,so that the synchronization error of the sending end and the receiving end can converge to zero in a finite time.By applying the sliding mode control four-dimensional memristive CNN chaotic system synchronization to continuous signal secure communication and image encryption,the experiment results prove the effectiveness of the method designed in this paper.In order to enhance the security of secure communication system,a five-dimensional memristive CNN hyperchaotic system is constructed to improve the chaotic degree of the system.By analyzing the phase trajectory diagram,bifurcation diagram,Lyapunov exponential spectrum,Lyapunov dimension and multistable characteristics,it is proved that it has more complex dynamic characteristics.In the design of sliding mode control five-dimensional memristive CNN hyperchaotic system synchronization method,the possible uncertain disturbances of the system are also considered.The sliding mode control five-dimensional memristive CNN hyperchaotic system synchronization is applied to continuous signal secure communication and image encryption,and the experiment results show that the five-dimensional memristive CNN hyperchaotic secure communication system proposed in this paper can better resist security attacks and effectively protect information security.In this paper,a four-dimensional memristive CNN chaotic system is constructed based on the memristor model with smooth continuous characteristic curve.In order to enhance the security of secure communication system,a five-dimensional memristive CNN hyperchaotic system with higher chaos degree is designed.At the same time,a new sliding mode method that can enhance the robustness of the system is designed to control the synchronization of chaotic system.Through the security analysis in image encryption,the five-dimensional memristive CNN hyperchaotic system has higher security than the four-dimensional memristive CNN chaotic system in secure communication is proved.