https://doi.org/10.1140/epjp/s13360-024-05789-6
Regular Article
Lag matrix projection synchronization for discrete chaotic systems and its application to image encryption
1
Electrical Engineering College, Heilongjiang University, 150080, Harbin, China
2
Data Science and Technology College, Heilongjiang University, 150080, Harbin, China
Received:
4
September
2024
Accepted:
31
October
2024
Published online:
15
November
2024
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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.