Security Analysis Of Encryption Scheme Based On Synchronization Of Complex Dynamical Networks

Complex networks exist in a wide range of areas in society and nature,which makes the study of complex networks one of the most important and popular research areas nowadays.The complexity of the structure and nodes of complex networks enables a wide range of applications in various disciplines such as medicine,biology,sociology and information science.In the field of information science,the complexity of complex networks provides quality conditions for encrypted information communication,and researchers take advantage of this feature to design encrypted communication schemes based on complex networks.A security analysis of encrypted communication schemes is necessary.Reconstruction of complex networks,which refers to inferring or computing the structure of a network based on observable data,is one of the frontier topics in complex network research.In recent years,researchers have proposed some network reconstruction methods.This provides new ideas and methods for analyzing the security of cryptographic models based on chaotic dynamical networks.The cryptographic model based on the synchronization of chaotic dynamical networks is extremely secure due to the complexity of its coupling network and the system parameters which regulate parameter mismatch sensitivity of the encryption system,and the key reconstruction analysis by traditional methods has little effect.In this paper,we first analyze the system parameters that affect the synchronization nature of this cryptographic model,and conduct a study on the reconstruction of system parameters using the reconstruction method of random variable resetting and the method of constant drive signals,respectively.The reconstruction method with random variable resetting is used to randomly reset the drive signals in the cryptographic model,and the node coupling relationship is calculated using the time series data of the response network node variables.The influence of the number of random resetting on the accuracy of the reconstruction results and the relationship between the parameters used to regulate parameter mismatch sensitivity and the number of resetting are discussed.The other system parameters are analyzed in combination with the constant drive signals method,and all the keys in the encryption model are reconstructed under the first node coupling method and good results are obtained.In addition,the system parameters of the encryption model under other node coupling methods are analyzed and compared with the first one,and then the security of the encryption model based on chaotic dynamics network synchronization is objectively analyzed and evaluated.By analyzing the key reconstruction results,the security of the encryption system is analyzed by combining the rationality of the reconstruction method and the accuracy of the reconstruction results,which is important to improve the security of the encryption model.The analysis of existing secure communication models from various perspectives can provide ideas and methods to improve the security of attack and defense of confidential communication,which is of great value to enhance the information security protection,hidden danger discovery and emergency response and recovery capability.