有源磁控忆阻超混沌电路实现及图像加密

在一个广义三阶Rucklidge系统的基础上提出基于二次非线性有源磁控忆阻器的四阶超混沌电路系统。对该系统的动力学行为进行理论分析和数值仿真，系统相图、Lyapunov指数谱、分岔图和共存吸引子均表明该系统具有丰富的动力学行为和新的拓扑结构。并利用Multisim电路仿真软件和FPGA数字硬件电路设计实现了该系统的电路，实验结果与数值仿真结果一致。最后将置乱-扩散算法与DNA加密相结合设计了一种图像加密算法，利用新系统混沌序列对图像进行加密，并对加密后的图像进行了加密直方图、相邻像素相关性、敏感性、鲁棒性和信息熵等分析。结果表明，新系统对混沌密钥及明文都非常敏感，密钥空间较大，提出的混沌系统应用于图像加密具有较高的安全性能。

An active magnetron memristor hyperchaoticcircuit and image encryption

On the basis of a generalized third-order Rucklidge system, a fourth-order hyperchaotic circuit system based on an quadratic nonlinear active magnetron memristor is proposed. The dynamics characteristics of the system, such as system phase diagram, Lyapunov exponential spectrum, bifurcation diagram, and coexisting attractor are studied by numerical simulation. The analysis results show that the system has rich dynamics characteristics and new topological structure. The system's circuit is designed and implemented by using Multisim circuit simulation software and FPGA digital hardware circuit. The experimental consequences are very consistent with the numerical simulation results. Finally, an image encryption algorithm is designed by combining scrambling-diffusion algorithm with DNA encryption. The new system chaotic sequence is used to encrypt image, and the encryption histogram, correlation between adjacent pixels, sensitivity, robustness and information entropy are analyzed. The results show that the new system is very sensitive to both chaotic key and plaintext, and the key space is large. The proposed chaotic system has high security performance when applied to image encryption.