https://doi.org/10.1140/epjp/s13360-026-07334-z
Regular Article
Multi-type images encryption scheme based on hamiltonian conservative hyperchaotic system and FPGA implementation
1
Electrical Engineering College, Heilongjiang University, 150080, Harbin, China
2
JinLing Institute of Technology, 211169, Nanjing, China
a
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Received:
30
November
2025
Accepted:
16
January
2026
Published online:
13
February
2026
Abstract
Conservative chaotic systems, which do not possess deterministic attractors and exhibit better ergodicity, are suitable for applications in secure communication. This paper proposes a four-dimensional Hamiltonian conservative hyperchaotic system (HCSCS) and conducts an analysis of the proposed system. The proposed system has two Lyapunov exponents that are consistently positive. Also, sum of all Lyapunov exponents is always zero, demonstrating excellent conservative hyperchaotic characteristics. Compared to a single hyperchaotic system or conservative chaotic system, it features higher complexity and stronger randomness. Further investigation into the scrolls of this conservative hyperchaotic system leads to the introduction of a new piecewise function which enables the HCSCS to generate a controllable number of scrolls. Chaotic sequences of Hamiltonian conservative hyperchaotic system exhibit improved randomness and ergodicity. So, the HCSCS is implemented on a hardware platform, and a multi-type image encryption scheme based on the HCSCS is proposed. While previous image encryption methods have primarily focused on encrypting images of the same type, this paper addresses multi-type images by employing DNA encoding and utilizing chaotic sequences for pixel scrambling and diffusion. Also, relevant performance tests are conducted on the proposed encryption scheme. The results of the test demonstrate the algorithm effectively reduces the correlation between adjacent pixels, disrupts the original pixel information and achieves favorable encryption outcomes.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
