Lag matrix projection synchronization for discrete chaotic systems and its application to image encryption

IF 2.8 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY The European Physical Journal Plus Pub Date : 2024-11-15 DOI:10.1140/epjp/s13360-024-05789-6

Wenchu Wu, Mingyu Lu, Xin Guan, Ziheng Yang

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Abstract

Chaotic systems are widely used in the field of secure communications due to their initial value sensitivity, long-term unpredictability and other characteristics. In this paper, a Lag Matrix Projection Synchronization (LMPS) scheme based on discrete chaotic system is proposed, which can adapt to a variety of synchronization including lag synchronization, simultaneous synchronization, projection synchronization, inverse synchronization, and complete synchronization. In order to verify the feasibility of the scheme, we also design a new four-dimensional discrete chaotic system, which is fully analyzed by numerical simulation. Simulation results show that the LMPS synchronization scheme can achieve synchronization with an average of only 8 iterations, and the synchronization error is controlled within the range of 10^–10, which reflects the high efficiency and accuracy of the scheme. In addition, we apply it to the field of image encryption, and the security analysis shows that the system performs well in terms of encryption effect, key space size, and resistance to noise attack, and can effectively guarantee the confidentiality and integrity of data.

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离散混沌系统的滞后矩阵投影同步及其在图像加密中的应用

混沌系统因其初值敏感性、长期不可预测性等特点被广泛应用于安全通信领域。本文提出了一种基于离散混沌系统的滞后矩阵投影同步（LMPS）方案，可适应滞后同步、同步、投影同步、反向同步、完全同步等多种同步方式。为了验证该方案的可行性，我们还设计了一个新的四维离散混沌系统，并对其进行了充分的数值仿真分析。仿真结果表明，LMPS 同步方案平均只需迭代 8 次即可实现同步，同步误差控制在 10-10 范围内，体现了该方案的高效性和准确性。此外，我们还将其应用于图像加密领域，安全性分析表明，该系统在加密效果、密钥空间大小、抗噪声攻击等方面表现良好，能有效保证数据的机密性和完整性。

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.