Abstract: In this paper, a novel four-dimensional hyper-chaos system with four-wing chaotic attractor is proposed, and this system is applied to digital image encryption. The basic dynamic characteristics such as phase diagram, equilibrium point, Lyapunov exponent spectrum, bifurcation diagrams, Poincare section are analyzed. Changes of parameters of Lyapunov index spectrum and bifurcation diagram are analyzed in detail. An artificial circuit of the four-wing hyper-chaos system is designed and the result of the simulation are consistent with theoretical analysis, the hyper-chaos behaviors of the system is verified. Finally, the new system is applied to image encryption, histogram of the image and the correlation between adjacent pixels are analyzed before and and after the encryption. Obviousness the effect of image encryption is well.

Key words: four-winged chaotic attractor, hyper-chaos system, chaotic circuit, image encryption

摘要： 提出了一个新的四翼超混沌系统，并将该系统应用于图像加密中。分析新系统的相图、平衡点、Lyapunov指数谱及分岔图等基本动力学特性，着重对系统参数变化引起的Lyapunov指数谱及分岔图详细分析，并设计该系统的模拟电路，电路实验结果与理论分析结果一致，验证了系统的超混沌行为。最后将此四翼超混沌系统应用于图像加密中，分析加密前后图像的直方图和相邻像素间相关性等，验证该系统应用于图像加密的效果良好。

关键词: 四翼吸引子, 超混沌系统, 混沌电路, 图像加密