【摘要】 本文构建了一个新型的四维混沌系统,并利用混沌和密码学的对应关系将其应用到彩色图像加密领域。首先分析了新系统的动力学特征:检验是否存在混沌吸引子,计算平衡点及Lyapunov指数,观察初值敏感性以及混沌信号的随机特性。并将新系统与超混沌Chen系统进行了比较,以验证新系统混沌特性的优劣。然后将新系统应用到基于Hopfield网络的单像素加密算法中,并进行了仿真。仿真结果表明,新系统具有很好的混沌特性,产生的序列也具有很高的随机性,适用于图像加密领域;该单像素加密算法可有效抵抗差分攻击,剪切和噪声干扰。更多还原

【Abstract】 A new four-dimensional chaotic system is presenaed, which is applied to the field of color image encryption based on the correspondence between chaos and cryptography. Firstly, the dynamic characteristics of the new system are analyzed, involving testing the existence of chaotic attractors, calculating the equilibrium point and Lyapunov exponents, and observing the sensitivity of initial values and the random characteristics of chaotic signals. The new system is compared with the hyperchaotic Chen system to verify its chaotic characteristics, which is then applied to the single pixel encryption algorithm based on Hopfield network, and the simulation is carried out. The results indicate that the new system possesses excellent chaotic characteristics, the generated sequence is also highly random, which is suitable for image encryption. The single pixel encryption algorithm can effectively resist differential attacks, shear and noise interference.更多还原