新一维组合混沌系统及加密特性研究

A new 1D combination chaotic system and its encryption performance

提出了一种新的产生一维混沌系统的组合结构,以此结构设计了两个新一维混沌系统,通过绘制Lyapunov指数图和分岔图研究了两个新混沌系统性能,研究结果表明,此结构生成的一维混沌系统具有混沌范围广、混沌区间连续、混沌序列分布均匀、系统Lyapunov指数高和可控参数多等优点。采用谱熵算法和C0算法对新系统产生的混沌伪随机序列复杂度进行了分析,结果表明,基于提出的组合结构获得的新系统为广域高复杂度混沌系统。最后,为了展示新系统在信息安全方面的应用,设计了一简单的图像加解密算法;实验结果表明,新系统生成的混沌伪随机序列具有更好的加密特性。

This paper proposes a new structure for new 1D chaotic system. Two new 1D chaotic system is designed by the structure.Studied the new system of chaotic behavior by plotting Lyapunov exponent and bifurcation diagram. The experiment results shown that the structure is able to produce many new 1D chaotic systems with larger chaotic ranges,chaotic sequence distribution uniform,more high Lyapunov exponent and more controllable parameters,etc. To analyze the complexity of chaotic pseudo-random sequences,C0 and spectral entropy( SE) algorithm is used to analyze chaotic pseudo-random sequences generated by the new 1D chaotic system. To investigate its applications in information security,a simple image encryption algorithm is proposed. The experiment results shown that the chaotic pseudo-randem sequences of new chaotic system has better encryption performance.