Abstract：A novel four-dimensional memristor self-excited oscillation system is introduced in this paper. The most important feature of the system is the introduction of a memristor into the circuit, thereby the chaos of the system is stronger. In this paper, the system is analyzed in terms of the phase diagram, bifurcation diagram, and Lyapunov exponent spectrum. The results indicate that the system reveals complex dynamic phenomena and the chaotic sequence generated by the iterative system has strong randomness, which is suitable for image encryption. Based on this system, the Arnold scrambling algorithm and the diffusion algorithm are used to encrypt the image. Then the histograms and adjacent pixel maps of the new system are plotted through numerical simulations. Histograms and adjacent pixel maps are drawn using Matlab,and various safety analyses are carried out. All indicators of this algorithm are close to theoretical values. The results indicate that image encryption applications have high safety performance.
李寒, 安新磊, 刘思洋, 王越. 基于忆阻自激振荡系统的图像加密算法[J]. 复杂系统与复杂性科学, 2025, 22(1): 154-160.
LI Han, AN Xinlei, LIU Siyang, WANG Yue. Image Encryption Algorithm Based on the Self-excitation Oscillation System[J]. Complex Systems and Complexity Science, 2025, 22(1): 154-160.
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